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

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


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

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

Reorder the terms:
24 + 3n = 3 + -3(-7 + n)
24 + 3n = 3 + (-7 * -3 + n * -3)
24 + 3n = 3 + (21 + -3n)

Combine like terms: 3 + 21 = 24
24 + 3n = 24 + -3n

Add '-24' to each side of the equation.
24 + -24 + 3n = 24 + -24 + -3n

Combine like terms: 24 + -24 = 0
0 + 3n = 24 + -24 + -3n
3n = 24 + -24 + -3n

Combine like terms: 24 + -24 = 0
3n = 0 + -3n
3n = -3n

Solving
3n = -3n

Solving for variable 'n'.

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

Add '3n' to each side of the equation.
3n + 3n = -3n + 3n

Combine like terms: 3n + 3n = 6n
6n = -3n + 3n

Combine like terms: -3n + 3n = 0
6n = 0

Divide each side by '6'.
n = 0

Simplifying
n = 0

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