8-3(n-4)=5(3n+2)-8

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Solution for 8-3(n-4)=5(3n+2)-8 equation: 


Simplifying
8 + -3(n + -4) = 5(3n + 2) + -8

Reorder the terms:
8 + -3(-4 + n) = 5(3n + 2) + -8
8 + (-4 * -3 + n * -3) = 5(3n + 2) + -8
8 + (12 + -3n) = 5(3n + 2) + -8

Combine like terms: 8 + 12 = 20
20 + -3n = 5(3n + 2) + -8

Reorder the terms:
20 + -3n = 5(2 + 3n) + -8
20 + -3n = (2 * 5 + 3n * 5) + -8
20 + -3n = (10 + 15n) + -8

Reorder the terms:
20 + -3n = 10 + -8 + 15n

Combine like terms: 10 + -8 = 2
20 + -3n = 2 + 15n

Solving
20 + -3n = 2 + 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.
20 + -3n + -15n = 2 + 15n + -15n

Combine like terms: -3n + -15n = -18n
20 + -18n = 2 + 15n + -15n

Combine like terms: 15n + -15n = 0
20 + -18n = 2 + 0
20 + -18n = 2

Add '-20' to each side of the equation.
20 + -20 + -18n = 2 + -20

Combine like terms: 20 + -20 = 0
0 + -18n = 2 + -20
-18n = 2 + -20

Combine like terms: 2 + -20 = -18
-18n = -18

Divide each side by '-18'.
n = 1

Simplifying
n = 1

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