-172=-4(7-6n)-6n

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Solution for -172=-4(7-6n)-6n equation:


Simplifying
-172 = -4(7 + -6n) + -6n
-172 = (7 * -4 + -6n * -4) + -6n
-172 = (-28 + 24n) + -6n

Combine like terms: 24n + -6n = 18n
-172 = -28 + 18n

Solving
-172 = -28 + 18n

Solving for variable 'n'.

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

Add '-18n' to each side of the equation.
-172 + -18n = -28 + 18n + -18n

Combine like terms: 18n + -18n = 0
-172 + -18n = -28 + 0
-172 + -18n = -28

Add '172' to each side of the equation.
-172 + 172 + -18n = -28 + 172

Combine like terms: -172 + 172 = 0
0 + -18n = -28 + 172
-18n = -28 + 172

Combine like terms: -28 + 172 = 144
-18n = 144

Divide each side by '-18'.
n = -8

Simplifying
n = -8

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