Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
n=0
Evaluate
−4(3n−8)−30=−2(−3n−1)
Calculate
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Evaluate
−4(3n−8)−30
Expand the expression
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Calculate
−4(3n−8)
Apply the distributive property
−4×3n−(−4×8)
Multiply the numbers
−12n−(−4×8)
Multiply the numbers
−12n−(−32)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12n+32
−12n+32−30
Subtract the numbers
−12n+2
−12n+2=−2(−3n−1)
Calculate
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Evaluate
−2(−3n−1)
Apply the distributive property
−2(−3n)−(−2×1)
Multiply the numbers
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Evaluate
−2(−3)
Multiplying or dividing an even number of negative terms equals a positive
2×3
Multiply the numbers
6
6n−(−2×1)
Any expression multiplied by 1 remains the same
6n−(−2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
6n+2
−12n+2=6n+2
Move the expression to the left side
−12n+2−(6n+2)=0
Calculate the sum or difference
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Add the terms
−12n+2−(6n+2)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−12n+2−6n−2
Subtract the terms
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Evaluate
−12n−6n
Collect like terms by calculating the sum or difference of their coefficients
(−12−6)n
Subtract the numbers
−18n
−18n+2−2
Since two opposites add up to 0,remove them form the expression
−18n
−18n=0
Change the signs on both sides of the equation
18n=0
Solution
n=0
Show Solution
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