-7(-4n-4)+2(n+5)=-22

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Solution for -7(-4n-4)+2(n+5)=-22 equation: 


Simplifying
-7(-4n + -4) + 2(n + 5) = -22

Reorder the terms:
-7(-4 + -4n) + 2(n + 5) = -22
(-4 * -7 + -4n * -7) + 2(n + 5) = -22
(28 + 28n) + 2(n + 5) = -22

Reorder the terms:
28 + 28n + 2(5 + n) = -22
28 + 28n + (5 * 2 + n * 2) = -22
28 + 28n + (10 + 2n) = -22

Reorder the terms:
28 + 10 + 28n + 2n = -22

Combine like terms: 28 + 10 = 38
38 + 28n + 2n = -22

Combine like terms: 28n + 2n = 30n
38 + 30n = -22

Solving
38 + 30n = -22

Solving for variable 'n'.

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

Add '-38' to each side of the equation.
38 + -38 + 30n = -22 + -38

Combine like terms: 38 + -38 = 0
0 + 30n = -22 + -38
30n = -22 + -38

Combine like terms: -22 + -38 = -60
30n = -60

Divide each side by '30'.
n = -2

Simplifying
n = -2

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