5(2n-7)+27=2(n+4)

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Solution for 5(2n-7)+27=2(n+4) equation:


Simplifying
5(2n + -7) + 27 = 2(n + 4)

Reorder the terms:
5(-7 + 2n) + 27 = 2(n + 4)
(-7 * 5 + 2n * 5) + 27 = 2(n + 4)
(-35 + 10n) + 27 = 2(n + 4)

Reorder the terms:
-35 + 27 + 10n = 2(n + 4)

Combine like terms: -35 + 27 = -8
-8 + 10n = 2(n + 4)

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

Solving
-8 + 10n = 8 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
-8 + 10n + -2n = 8 + 2n + -2n

Combine like terms: 10n + -2n = 8n
-8 + 8n = 8 + 2n + -2n

Combine like terms: 2n + -2n = 0
-8 + 8n = 8 + 0
-8 + 8n = 8

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

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

Combine like terms: 8 + 8 = 16
8n = 16

Divide each side by '8'.
n = 2

Simplifying
n = 2

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