378=-6(1-8n)

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Solution for 378=-6(1-8n) equation:


Simplifying
378 = -6(1 + -8n)
378 = (1 * -6 + -8n * -6)
378 = (-6 + 48n)

Solving
378 = -6 + 48n

Solving for variable 'n'.

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

Add '-48n' to each side of the equation.
378 + -48n = -6 + 48n + -48n

Combine like terms: 48n + -48n = 0
378 + -48n = -6 + 0
378 + -48n = -6

Add '-378' to each side of the equation.
378 + -378 + -48n = -6 + -378

Combine like terms: 378 + -378 = 0
0 + -48n = -6 + -378
-48n = -6 + -378

Combine like terms: -6 + -378 = -384
-48n = -384

Divide each side by '-48'.
n = 8

Simplifying
n = 8

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