n+7(-6n+4)=-218

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Solution for n+7(-6n+4)=-218 equation:


Simplifying
n + 7(-6n + 4) = -218

Reorder the terms:
n + 7(4 + -6n) = -218
n + (4 * 7 + -6n * 7) = -218
n + (28 + -42n) = -218

Reorder the terms:
28 + n + -42n = -218

Combine like terms: n + -42n = -41n
28 + -41n = -218

Solving
28 + -41n = -218

Solving for variable 'n'.

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

Add '-28' to each side of the equation.
28 + -28 + -41n = -218 + -28

Combine like terms: 28 + -28 = 0
0 + -41n = -218 + -28
-41n = -218 + -28

Combine like terms: -218 + -28 = -246
-41n = -246

Divide each side by '-41'.
n = 6

Simplifying
n = 6

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