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

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


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

Reorder the terms:
8(3 + n) + -8 = 8 + -7(3n + 3)
(3 * 8 + n * 8) + -8 = 8 + -7(3n + 3)
(24 + 8n) + -8 = 8 + -7(3n + 3)

Reorder the terms:
24 + -8 + 8n = 8 + -7(3n + 3)

Combine like terms: 24 + -8 = 16
16 + 8n = 8 + -7(3n + 3)

Reorder the terms:
16 + 8n = 8 + -7(3 + 3n)
16 + 8n = 8 + (3 * -7 + 3n * -7)
16 + 8n = 8 + (-21 + -21n)

Combine like terms: 8 + -21 = -13
16 + 8n = -13 + -21n

Solving
16 + 8n = -13 + -21n

Solving for variable 'n'.

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

Add '21n' to each side of the equation.
16 + 8n + 21n = -13 + -21n + 21n

Combine like terms: 8n + 21n = 29n
16 + 29n = -13 + -21n + 21n

Combine like terms: -21n + 21n = 0
16 + 29n = -13 + 0
16 + 29n = -13

Add '-16' to each side of the equation.
16 + -16 + 29n = -13 + -16

Combine like terms: 16 + -16 = 0
0 + 29n = -13 + -16
29n = -13 + -16

Combine like terms: -13 + -16 = -29
29n = -29

Divide each side by '29'.
n = -1

Simplifying
n = -1

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