4(-2n+7)+2n=-4(n-10)-3n

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Solution for 4(-2n+7)+2n=-4(n-10)-3n equation: 


Simplifying
4(-2n + 7) + 2n = -4(n + -10) + -3n

Reorder the terms:
4(7 + -2n) + 2n = -4(n + -10) + -3n
(7 * 4 + -2n * 4) + 2n = -4(n + -10) + -3n
(28 + -8n) + 2n = -4(n + -10) + -3n

Combine like terms: -8n + 2n = -6n
28 + -6n = -4(n + -10) + -3n

Reorder the terms:
28 + -6n = -4(-10 + n) + -3n
28 + -6n = (-10 * -4 + n * -4) + -3n
28 + -6n = (40 + -4n) + -3n

Combine like terms: -4n + -3n = -7n
28 + -6n = 40 + -7n

Solving
28 + -6n = 40 + -7n

Solving for variable 'n'.

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

Add '7n' to each side of the equation.
28 + -6n + 7n = 40 + -7n + 7n

Combine like terms: -6n + 7n = 1n
28 + 1n = 40 + -7n + 7n

Combine like terms: -7n + 7n = 0
28 + 1n = 40 + 0
28 + 1n = 40

Add '-28' to each side of the equation.
28 + -28 + 1n = 40 + -28

Combine like terms: 28 + -28 = 0
0 + 1n = 40 + -28
1n = 40 + -28

Combine like terms: 40 + -28 = 12
1n = 12

Divide each side by '1'.
n = 12

Simplifying
n = 12

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