6+5(n-1)=6n-2

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Solution for 6+5(n-1)=6n-2 equation:


Simplifying
6 + 5(n + -1) = 6n + -2

Reorder the terms:
6 + 5(-1 + n) = 6n + -2
6 + (-1 * 5 + n * 5) = 6n + -2
6 + (-5 + 5n) = 6n + -2

Combine like terms: 6 + -5 = 1
1 + 5n = 6n + -2

Reorder the terms:
1 + 5n = -2 + 6n

Solving
1 + 5n = -2 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
1 + 5n + -6n = -2 + 6n + -6n

Combine like terms: 5n + -6n = -1n
1 + -1n = -2 + 6n + -6n

Combine like terms: 6n + -6n = 0
1 + -1n = -2 + 0
1 + -1n = -2

Add '-1' to each side of the equation.
1 + -1 + -1n = -2 + -1

Combine like terms: 1 + -1 = 0
0 + -1n = -2 + -1
-1n = -2 + -1

Combine like terms: -2 + -1 = -3
-1n = -3

Divide each side by '-1'.
n = 3

Simplifying
n = 3

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