8(n-6)+8=8(1+3n)

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Solution for 8(n-6)+8=8(1+3n) equation:


Simplifying
8(n + -6) + 8 = 8(1 + 3n)

Reorder the terms:
8(-6 + n) + 8 = 8(1 + 3n)
(-6 * 8 + n * 8) + 8 = 8(1 + 3n)
(-48 + 8n) + 8 = 8(1 + 3n)

Reorder the terms:
-48 + 8 + 8n = 8(1 + 3n)

Combine like terms: -48 + 8 = -40
-40 + 8n = 8(1 + 3n)
-40 + 8n = (1 * 8 + 3n * 8)
-40 + 8n = (8 + 24n)

Solving
-40 + 8n = 8 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
-40 + 8n + -24n = 8 + 24n + -24n

Combine like terms: 8n + -24n = -16n
-40 + -16n = 8 + 24n + -24n

Combine like terms: 24n + -24n = 0
-40 + -16n = 8 + 0
-40 + -16n = 8

Add '40' to each side of the equation.
-40 + 40 + -16n = 8 + 40

Combine like terms: -40 + 40 = 0
0 + -16n = 8 + 40
-16n = 8 + 40

Combine like terms: 8 + 40 = 48
-16n = 48

Divide each side by '-16'.
n = -3

Simplifying
n = -3

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