8(2-n)+8(6-3n)=32

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Solution for 8(2-n)+8(6-3n)=32 equation: 


Simplifying
8(2 + -1n) + 8(6 + -3n) = 32
(2 * 8 + -1n * 8) + 8(6 + -3n) = 32
(16 + -8n) + 8(6 + -3n) = 32
16 + -8n + (6 * 8 + -3n * 8) = 32
16 + -8n + (48 + -24n) = 32

Reorder the terms:
16 + 48 + -8n + -24n = 32

Combine like terms: 16 + 48 = 64
64 + -8n + -24n = 32

Combine like terms: -8n + -24n = -32n
64 + -32n = 32

Solving
64 + -32n = 32

Solving for variable 'n'.

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

Add '-64' to each side of the equation.
64 + -64 + -32n = 32 + -64

Combine like terms: 64 + -64 = 0
0 + -32n = 32 + -64
-32n = 32 + -64

Combine like terms: 32 + -64 = -32
-32n = -32

Divide each side by '-32'.
n = 1

Simplifying
n = 1

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