8(n-7)=8(3n+3)

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Solution for 8(n-7)=8(3n+3) equation:


Simplifying
8(n + -7) = 8(3n + 3)

Reorder the terms:
8(-7 + n) = 8(3n + 3)
(-7 * 8 + n * 8) = 8(3n + 3)
(-56 + 8n) = 8(3n + 3)

Reorder the terms:
-56 + 8n = 8(3 + 3n)
-56 + 8n = (3 * 8 + 3n * 8)
-56 + 8n = (24 + 24n)

Solving
-56 + 8n = 24 + 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.
-56 + 8n + -24n = 24 + 24n + -24n

Combine like terms: 8n + -24n = -16n
-56 + -16n = 24 + 24n + -24n

Combine like terms: 24n + -24n = 0
-56 + -16n = 24 + 0
-56 + -16n = 24

Add '56' to each side of the equation.
-56 + 56 + -16n = 24 + 56

Combine like terms: -56 + 56 = 0
0 + -16n = 24 + 56
-16n = 24 + 56

Combine like terms: 24 + 56 = 80
-16n = 80

Divide each side by '-16'.
n = -5

Simplifying
n = -5

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