5+(2n+3)-(1-2n)=2(6+7n)

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Solution for 5+(2n+3)-(1-2n)=2(6+7n) equation:


Simplifying
5 + (2n + 3) + -1(1 + -2n) = 2(6 + 7n)

Reorder the terms:
5 + (3 + 2n) + -1(1 + -2n) = 2(6 + 7n)

Remove parenthesis around (3 + 2n)
5 + 3 + 2n + -1(1 + -2n) = 2(6 + 7n)
5 + 3 + 2n + (1 * -1 + -2n * -1) = 2(6 + 7n)
5 + 3 + 2n + (-1 + 2n) = 2(6 + 7n)

Reorder the terms:
5 + 3 + -1 + 2n + 2n = 2(6 + 7n)

Combine like terms: 5 + 3 = 8
8 + -1 + 2n + 2n = 2(6 + 7n)

Combine like terms: 8 + -1 = 7
7 + 2n + 2n = 2(6 + 7n)

Combine like terms: 2n + 2n = 4n
7 + 4n = 2(6 + 7n)
7 + 4n = (6 * 2 + 7n * 2)
7 + 4n = (12 + 14n)

Solving
7 + 4n = 12 + 14n

Solving for variable 'n'.

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

Add '-14n' to each side of the equation.
7 + 4n + -14n = 12 + 14n + -14n

Combine like terms: 4n + -14n = -10n
7 + -10n = 12 + 14n + -14n

Combine like terms: 14n + -14n = 0
7 + -10n = 12 + 0
7 + -10n = 12

Add '-7' to each side of the equation.
7 + -7 + -10n = 12 + -7

Combine like terms: 7 + -7 = 0
0 + -10n = 12 + -7
-10n = 12 + -7

Combine like terms: 12 + -7 = 5
-10n = 5

Divide each side by '-10'.
n = -0.5

Simplifying
n = -0.5

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