-186=6n-8(-5n+6)

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Solution for -186=6n-8(-5n+6) equation: 


Simplifying
-186 = 6n + -8(-5n + 6)

Reorder the terms:
-186 = 6n + -8(6 + -5n)
-186 = 6n + (6 * -8 + -5n * -8)
-186 = 6n + (-48 + 40n)

Reorder the terms:
-186 = -48 + 6n + 40n

Combine like terms: 6n + 40n = 46n
-186 = -48 + 46n

Solving
-186 = -48 + 46n

Solving for variable 'n'.

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

Add '-46n' to each side of the equation.
-186 + -46n = -48 + 46n + -46n

Combine like terms: 46n + -46n = 0
-186 + -46n = -48 + 0
-186 + -46n = -48

Add '186' to each side of the equation.
-186 + 186 + -46n = -48 + 186

Combine like terms: -186 + 186 = 0
0 + -46n = -48 + 186
-46n = -48 + 186

Combine like terms: -48 + 186 = 138
-46n = 138

Divide each side by '-46'.
n = -3

Simplifying
n = -3

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