2(1+n)-4(n+7)=-40

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Solution for 2(1+n)-4(n+7)=-40 equation:


Simplifying
2(1 + n) + -4(n + 7) = -40
(1 * 2 + n * 2) + -4(n + 7) = -40
(2 + 2n) + -4(n + 7) = -40

Reorder the terms:
2 + 2n + -4(7 + n) = -40
2 + 2n + (7 * -4 + n * -4) = -40
2 + 2n + (-28 + -4n) = -40

Reorder the terms:
2 + -28 + 2n + -4n = -40

Combine like terms: 2 + -28 = -26
-26 + 2n + -4n = -40

Combine like terms: 2n + -4n = -2n
-26 + -2n = -40

Solving
-26 + -2n = -40

Solving for variable 'n'.

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

Add '26' to each side of the equation.
-26 + 26 + -2n = -40 + 26

Combine like terms: -26 + 26 = 0
0 + -2n = -40 + 26
-2n = -40 + 26

Combine like terms: -40 + 26 = -14
-2n = -14

Divide each side by '-2'.
n = 7

Simplifying
n = 7

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