4(1-2n)-2(7n-4)=-32

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Solution for 4(1-2n)-2(7n-4)=-32 equation: 


Simplifying
4(1 + -2n) + -2(7n + -4) = -32
(1 * 4 + -2n * 4) + -2(7n + -4) = -32
(4 + -8n) + -2(7n + -4) = -32

Reorder the terms:
4 + -8n + -2(-4 + 7n) = -32
4 + -8n + (-4 * -2 + 7n * -2) = -32
4 + -8n + (8 + -14n) = -32

Reorder the terms:
4 + 8 + -8n + -14n = -32

Combine like terms: 4 + 8 = 12
12 + -8n + -14n = -32

Combine like terms: -8n + -14n = -22n
12 + -22n = -32

Solving
12 + -22n = -32

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + -22n = -32 + -12

Combine like terms: 12 + -12 = 0
0 + -22n = -32 + -12
-22n = -32 + -12

Combine like terms: -32 + -12 = -44
-22n = -44

Divide each side by '-22'.
n = 2

Simplifying
n = 2

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