3(n+7)=3-3(n-2)

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Solution for 3(n+7)=3-3(n-2) equation:


Simplifying
3(n + 7) = 3 + -3(n + -2)

Reorder the terms:
3(7 + n) = 3 + -3(n + -2)
(7 * 3 + n * 3) = 3 + -3(n + -2)
(21 + 3n) = 3 + -3(n + -2)

Reorder the terms:
21 + 3n = 3 + -3(-2 + n)
21 + 3n = 3 + (-2 * -3 + n * -3)
21 + 3n = 3 + (6 + -3n)

Combine like terms: 3 + 6 = 9
21 + 3n = 9 + -3n

Solving
21 + 3n = 9 + -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.
21 + 3n + 3n = 9 + -3n + 3n

Combine like terms: 3n + 3n = 6n
21 + 6n = 9 + -3n + 3n

Combine like terms: -3n + 3n = 0
21 + 6n = 9 + 0
21 + 6n = 9

Add '-21' to each side of the equation.
21 + -21 + 6n = 9 + -21

Combine like terms: 21 + -21 = 0
0 + 6n = 9 + -21
6n = 9 + -21

Combine like terms: 9 + -21 = -12
6n = -12

Divide each side by '6'.
n = -2

Simplifying
n = -2

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