-22=-3(n-2)-2(n+4)

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Solution for -22=-3(n-2)-2(n+4) equation:


Simplifying
-22 = -3(n + -2) + -2(n + 4)

Reorder the terms:
-22 = -3(-2 + n) + -2(n + 4)
-22 = (-2 * -3 + n * -3) + -2(n + 4)
-22 = (6 + -3n) + -2(n + 4)

Reorder the terms:
-22 = 6 + -3n + -2(4 + n)
-22 = 6 + -3n + (4 * -2 + n * -2)
-22 = 6 + -3n + (-8 + -2n)

Reorder the terms:
-22 = 6 + -8 + -3n + -2n

Combine like terms: 6 + -8 = -2
-22 = -2 + -3n + -2n

Combine like terms: -3n + -2n = -5n
-22 = -2 + -5n

Solving
-22 = -2 + -5n

Solving for variable 'n'.

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

Add '5n' to each side of the equation.
-22 + 5n = -2 + -5n + 5n

Combine like terms: -5n + 5n = 0
-22 + 5n = -2 + 0
-22 + 5n = -2

Add '22' to each side of the equation.
-22 + 22 + 5n = -2 + 22

Combine like terms: -22 + 22 = 0
0 + 5n = -2 + 22
5n = -2 + 22

Combine like terms: -2 + 22 = 20
5n = 20

Divide each side by '5'.
n = 4

Simplifying
n = 4

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