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

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


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

Reorder the terms:
n + -5(3 + 2n) = 7 + -1n + 7
n + (3 * -5 + 2n * -5) = 7 + -1n + 7
n + (-15 + -10n) = 7 + -1n + 7

Reorder the terms:
-15 + n + -10n = 7 + -1n + 7

Combine like terms: n + -10n = -9n
-15 + -9n = 7 + -1n + 7

Reorder the terms:
-15 + -9n = 7 + 7 + -1n

Combine like terms: 7 + 7 = 14
-15 + -9n = 14 + -1n

Solving
-15 + -9n = 14 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
-15 + -9n + n = 14 + -1n + n

Combine like terms: -9n + n = -8n
-15 + -8n = 14 + -1n + n

Combine like terms: -1n + n = 0
-15 + -8n = 14 + 0
-15 + -8n = 14

Add '15' to each side of the equation.
-15 + 15 + -8n = 14 + 15

Combine like terms: -15 + 15 = 0
0 + -8n = 14 + 15
-8n = 14 + 15

Combine like terms: 14 + 15 = 29
-8n = 29

Divide each side by '-8'.
n = -3.625

Simplifying
n = -3.625

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