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

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


Simplifying
8n + -1(-8 + -5) = 7(n + -7) + 3n

Combine like terms: -8 + -5 = -13
8n + -1(-13) = 7(n + -7) + 3n

Multiply -1 * -13
8n + 13 = 7(n + -7) + 3n

Reorder the terms:
13 + 8n = 7(n + -7) + 3n

Reorder the terms:
13 + 8n = 7(-7 + n) + 3n
13 + 8n = (-7 * 7 + n * 7) + 3n
13 + 8n = (-49 + 7n) + 3n

Combine like terms: 7n + 3n = 10n
13 + 8n = -49 + 10n

Solving
13 + 8n = -49 + 10n

Solving for variable 'n'.

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

Add '-10n' to each side of the equation.
13 + 8n + -10n = -49 + 10n + -10n

Combine like terms: 8n + -10n = -2n
13 + -2n = -49 + 10n + -10n

Combine like terms: 10n + -10n = 0
13 + -2n = -49 + 0
13 + -2n = -49

Add '-13' to each side of the equation.
13 + -13 + -2n = -49 + -13

Combine like terms: 13 + -13 = 0
0 + -2n = -49 + -13
-2n = -49 + -13

Combine like terms: -49 + -13 = -62
-2n = -62

Divide each side by '-2'.
n = 31

Simplifying
n = 31

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