Question
Solve the equation
z=23
Evaluate
4(z−6)−3(z−3)=8
Move the expression to the left side
4(z−6)−3(z−3)−8=0
Calculate
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Evaluate
4(z−6)−3(z−3)−8
Expand the expression
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Calculate
4(z−6)
Apply the distributive property
4z−4×6
Multiply the numbers
4z−24
4z−24−3(z−3)−8
Expand the expression
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Calculate
−3(z−3)
Apply the distributive property
−3z−(−3×3)
Multiply the numbers
−3z−(−9)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−3z+9
4z−24−3z+9−8
Subtract the terms
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Evaluate
4z−3z
Collect like terms by calculating the sum or difference of their coefficients
(4−3)z
Subtract the numbers
z
z−24+9−8
Calculate the sum or difference
z−23
z−23=0
Move the constant to the right-hand side and change its sign
z=0+23
Solution
z=23
Show Solution
