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

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


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

Reorder the terms:
7(3 + n) = 6(n + -3)
(3 * 7 + n * 7) = 6(n + -3)
(21 + 7n) = 6(n + -3)

Reorder the terms:
21 + 7n = 6(-3 + n)
21 + 7n = (-3 * 6 + n * 6)
21 + 7n = (-18 + 6n)

Solving
21 + 7n = -18 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
21 + 7n + -6n = -18 + 6n + -6n

Combine like terms: 7n + -6n = 1n
21 + 1n = -18 + 6n + -6n

Combine like terms: 6n + -6n = 0
21 + 1n = -18 + 0
21 + 1n = -18

Add '-21' to each side of the equation.
21 + -21 + 1n = -18 + -21

Combine like terms: 21 + -21 = 0
0 + 1n = -18 + -21
1n = -18 + -21

Combine like terms: -18 + -21 = -39
1n = -39

Divide each side by '1'.
n = -39

Simplifying
n = -39

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