6(n-1)=7n-8

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Solution for 6(n-1)=7n-8 equation:


Simplifying
6(n + -1) = 7n + -8

Reorder the terms:
6(-1 + n) = 7n + -8
(-1 * 6 + n * 6) = 7n + -8
(-6 + 6n) = 7n + -8

Reorder the terms:
-6 + 6n = -8 + 7n

Solving
-6 + 6n = -8 + 7n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-7n' to each side of the equation.
-6 + 6n + -7n = -8 + 7n + -7n

Combine like terms: 6n + -7n = -1n
-6 + -1n = -8 + 7n + -7n

Combine like terms: 7n + -7n = 0
-6 + -1n = -8 + 0
-6 + -1n = -8

Add '6' to each side of the equation.
-6 + 6 + -1n = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -1n = -8 + 6
-1n = -8 + 6

Combine like terms: -8 + 6 = -2
-1n = -2

Divide each side by '-1'.
n = 2

Simplifying
n = 2

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