Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
n∈R
Alternative Form
All real solution
Evaluate
2(n−1)+4n=2(3n−1)
Calculate
More Steps
Evaluate
2(n−1)+4n
Expand the expression
More Steps
Calculate
2(n−1)
Apply the distributive property
2n−2×1
Any expression multiplied by 1 remains the same
2n−2
2n−2+4n
Add the terms
More Steps
Evaluate
2n+4n
Collect like terms by calculating the sum or difference of their coefficients
(2+4)n
Add the numbers
6n
6n−2
6n−2=2(3n−1)
Calculate
More Steps
Evaluate
2(3n−1)
Apply the distributive property
2×3n−2×1
Multiply the numbers
6n−2×1
Any expression multiplied by 1 remains the same
6n−2
6n−2=6n−2
Move the expression to the left side
6n−2−(6n−2)=0
Calculate
More Steps
Add the terms
6n−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
6n−2−6n+2
The sum of two opposites equals 0
More Steps
Evaluate
6n−6n
Collect like terms
(6−6)n
Add the coefficients
0×n
Calculate
0
0−2+2
Remove 0
−2+2
Add the numbers
0
0=0
Solution
n∈R
Alternative Form
All real solution
Show Solution
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