8n-27=3(5n+5)+7

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Solution for 8n-27=3(5n+5)+7 equation:


Simplifying
8n + -27 = 3(5n + 5) + 7

Reorder the terms:
-27 + 8n = 3(5n + 5) + 7

Reorder the terms:
-27 + 8n = 3(5 + 5n) + 7
-27 + 8n = (5 * 3 + 5n * 3) + 7
-27 + 8n = (15 + 15n) + 7

Reorder the terms:
-27 + 8n = 15 + 7 + 15n

Combine like terms: 15 + 7 = 22
-27 + 8n = 22 + 15n

Solving
-27 + 8n = 22 + 15n

Solving for variable 'n'.

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

Add '-15n' to each side of the equation.
-27 + 8n + -15n = 22 + 15n + -15n

Combine like terms: 8n + -15n = -7n
-27 + -7n = 22 + 15n + -15n

Combine like terms: 15n + -15n = 0
-27 + -7n = 22 + 0
-27 + -7n = 22

Add '27' to each side of the equation.
-27 + 27 + -7n = 22 + 27

Combine like terms: -27 + 27 = 0
0 + -7n = 22 + 27
-7n = 22 + 27

Combine like terms: 22 + 27 = 49
-7n = 49

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

Simplifying
n = -7

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