-5n+6=-7(5x-6)-6x

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Solution for -5n+6=-7(5x-6)-6x equation:


Simplifying
-5n + 6 = -7(5x + -6) + -6x

Reorder the terms:
6 + -5n = -7(5x + -6) + -6x

Reorder the terms:
6 + -5n = -7(-6 + 5x) + -6x
6 + -5n = (-6 * -7 + 5x * -7) + -6x
6 + -5n = (42 + -35x) + -6x

Combine like terms: -35x + -6x = -41x
6 + -5n = 42 + -41x

Solving
6 + -5n = 42 + -41x

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + -5n = 42 + -6 + -41x

Combine like terms: 6 + -6 = 0
0 + -5n = 42 + -6 + -41x
-5n = 42 + -6 + -41x

Combine like terms: 42 + -6 = 36
-5n = 36 + -41x

Divide each side by '-5'.
n = -7.2 + 8.2x

Simplifying
n = -7.2 + 8.2x

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