-8n+6(2n+8)=-7(2n-12)

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Solution for -8n+6(2n+8)=-7(2n-12) equation: 


Simplifying
-8n + 6(2n + 8) = -7(2n + -12)

Reorder the terms:
-8n + 6(8 + 2n) = -7(2n + -12)
-8n + (8 * 6 + 2n * 6) = -7(2n + -12)
-8n + (48 + 12n) = -7(2n + -12)

Reorder the terms:
48 + -8n + 12n = -7(2n + -12)

Combine like terms: -8n + 12n = 4n
48 + 4n = -7(2n + -12)

Reorder the terms:
48 + 4n = -7(-12 + 2n)
48 + 4n = (-12 * -7 + 2n * -7)
48 + 4n = (84 + -14n)

Solving
48 + 4n = 84 + -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.
48 + 4n + 14n = 84 + -14n + 14n

Combine like terms: 4n + 14n = 18n
48 + 18n = 84 + -14n + 14n

Combine like terms: -14n + 14n = 0
48 + 18n = 84 + 0
48 + 18n = 84

Add '-48' to each side of the equation.
48 + -48 + 18n = 84 + -48

Combine like terms: 48 + -48 = 0
0 + 18n = 84 + -48
18n = 84 + -48

Combine like terms: 84 + -48 = 36
18n = 36

Divide each side by '18'.
n = 2

Simplifying
n = 2

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