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

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Solution for 6(n+7)+3(n-2)= equation:


Simplifying
6(n + 7) + 3(n + -2) = 0

Reorder the terms:
6(7 + n) + 3(n + -2) = 0
(7 * 6 + n * 6) + 3(n + -2) = 0
(42 + 6n) + 3(n + -2) = 0

Reorder the terms:
42 + 6n + 3(-2 + n) = 0
42 + 6n + (-2 * 3 + n * 3) = 0
42 + 6n + (-6 + 3n) = 0

Reorder the terms:
42 + -6 + 6n + 3n = 0

Combine like terms: 42 + -6 = 36
36 + 6n + 3n = 0

Combine like terms: 6n + 3n = 9n
36 + 9n = 0

Solving
36 + 9n = 0

Solving for variable 'n'.

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

Add '-36' to each side of the equation.
36 + -36 + 9n = 0 + -36

Combine like terms: 36 + -36 = 0
0 + 9n = 0 + -36
9n = 0 + -36

Combine like terms: 0 + -36 = -36
9n = -36

Divide each side by '9'.
n = -4

Simplifying
n = -4

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