4(2n+2)-6(6+n)=-38

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Solution for 4(2n+2)-6(6+n)=-38 equation: 


Simplifying
4(2n + 2) + -6(6 + n) = -38

Reorder the terms:
4(2 + 2n) + -6(6 + n) = -38
(2 * 4 + 2n * 4) + -6(6 + n) = -38
(8 + 8n) + -6(6 + n) = -38
8 + 8n + (6 * -6 + n * -6) = -38
8 + 8n + (-36 + -6n) = -38

Reorder the terms:
8 + -36 + 8n + -6n = -38

Combine like terms: 8 + -36 = -28
-28 + 8n + -6n = -38

Combine like terms: 8n + -6n = 2n
-28 + 2n = -38

Solving
-28 + 2n = -38

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 + 2n = -38 + 28

Combine like terms: -28 + 28 = 0
0 + 2n = -38 + 28
2n = -38 + 28

Combine like terms: -38 + 28 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5

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