7(-6n+4)-6(n-3)=-50

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Solution for 7(-6n+4)-6(n-3)=-50 equation: 


Simplifying
7(-6n + 4) + -6(n + -3) = -50

Reorder the terms:
7(4 + -6n) + -6(n + -3) = -50
(4 * 7 + -6n * 7) + -6(n + -3) = -50
(28 + -42n) + -6(n + -3) = -50

Reorder the terms:
28 + -42n + -6(-3 + n) = -50
28 + -42n + (-3 * -6 + n * -6) = -50
28 + -42n + (18 + -6n) = -50

Reorder the terms:
28 + 18 + -42n + -6n = -50

Combine like terms: 28 + 18 = 46
46 + -42n + -6n = -50

Combine like terms: -42n + -6n = -48n
46 + -48n = -50

Solving
46 + -48n = -50

Solving for variable 'n'.

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

Add '-46' to each side of the equation.
46 + -46 + -48n = -50 + -46

Combine like terms: 46 + -46 = 0
0 + -48n = -50 + -46
-48n = -50 + -46

Combine like terms: -50 + -46 = -96
-48n = -96

Divide each side by '-48'.
n = 2

Simplifying
n = 2

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