-36-7n=-6(7n-6)-2

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Solution for -36-7n=-6(7n-6)-2 equation:


Simplifying
-36 + -7n = -6(7n + -6) + -2

Reorder the terms:
-36 + -7n = -6(-6 + 7n) + -2
-36 + -7n = (-6 * -6 + 7n * -6) + -2
-36 + -7n = (36 + -42n) + -2

Reorder the terms:
-36 + -7n = 36 + -2 + -42n

Combine like terms: 36 + -2 = 34
-36 + -7n = 34 + -42n

Solving
-36 + -7n = 34 + -42n

Solving for variable 'n'.

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

Add '42n' to each side of the equation.
-36 + -7n + 42n = 34 + -42n + 42n

Combine like terms: -7n + 42n = 35n
-36 + 35n = 34 + -42n + 42n

Combine like terms: -42n + 42n = 0
-36 + 35n = 34 + 0
-36 + 35n = 34

Add '36' to each side of the equation.
-36 + 36 + 35n = 34 + 36

Combine like terms: -36 + 36 = 0
0 + 35n = 34 + 36
35n = 34 + 36

Combine like terms: 34 + 36 = 70
35n = 70

Divide each side by '35'.
n = 2

Simplifying
n = 2

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