85=7-6(-6n-1)

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Solution for 85=7-6(-6n-1) equation:


Simplifying
85 = 7 + -6(-6n + -1)

Reorder the terms:
85 = 7 + -6(-1 + -6n)
85 = 7 + (-1 * -6 + -6n * -6)
85 = 7 + (6 + 36n)

Combine like terms: 7 + 6 = 13
85 = 13 + 36n

Solving
85 = 13 + 36n

Solving for variable 'n'.

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

Add '-36n' to each side of the equation.
85 + -36n = 13 + 36n + -36n

Combine like terms: 36n + -36n = 0
85 + -36n = 13 + 0
85 + -36n = 13

Add '-85' to each side of the equation.
85 + -85 + -36n = 13 + -85

Combine like terms: 85 + -85 = 0
0 + -36n = 13 + -85
-36n = 13 + -85

Combine like terms: 13 + -85 = -72
-36n = -72

Divide each side by '-36'.
n = 2

Simplifying
n = 2

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