4-8(n-6)=-32+6n

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Solution for 4-8(n-6)=-32+6n equation:


Simplifying
4 + -8(n + -6) = -32 + 6n

Reorder the terms:
4 + -8(-6 + n) = -32 + 6n
4 + (-6 * -8 + n * -8) = -32 + 6n
4 + (48 + -8n) = -32 + 6n

Combine like terms: 4 + 48 = 52
52 + -8n = -32 + 6n

Solving
52 + -8n = -32 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
52 + -8n + -6n = -32 + 6n + -6n

Combine like terms: -8n + -6n = -14n
52 + -14n = -32 + 6n + -6n

Combine like terms: 6n + -6n = 0
52 + -14n = -32 + 0
52 + -14n = -32

Add '-52' to each side of the equation.
52 + -52 + -14n = -32 + -52

Combine like terms: 52 + -52 = 0
0 + -14n = -32 + -52
-14n = -32 + -52

Combine like terms: -32 + -52 = -84
-14n = -84

Divide each side by '-14'.
n = 6

Simplifying
n = 6

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