8(n+3)-2(3n-4)=31

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Solution for 8(n+3)-2(3n-4)=31 equation: 


Simplifying
8(n + 3) + -2(3n + -4) = 31

Reorder the terms:
8(3 + n) + -2(3n + -4) = 31
(3 * 8 + n * 8) + -2(3n + -4) = 31
(24 + 8n) + -2(3n + -4) = 31

Reorder the terms:
24 + 8n + -2(-4 + 3n) = 31
24 + 8n + (-4 * -2 + 3n * -2) = 31
24 + 8n + (8 + -6n) = 31

Reorder the terms:
24 + 8 + 8n + -6n = 31

Combine like terms: 24 + 8 = 32
32 + 8n + -6n = 31

Combine like terms: 8n + -6n = 2n
32 + 2n = 31

Solving
32 + 2n = 31

Solving for variable 'n'.

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

Add '-32' to each side of the equation.
32 + -32 + 2n = 31 + -32

Combine like terms: 32 + -32 = 0
0 + 2n = 31 + -32
2n = 31 + -32

Combine like terms: 31 + -32 = -1
2n = -1

Divide each side by '2'.
n = -0.5

Simplifying
n = -0.5

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