(n+9)6=7(n-4)

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Solution for (n+9)6=7(n-4) equation:


Simplifying
(n + 9) * 6 = 7(n + -4)

Reorder the terms:
(9 + n) * 6 = 7(n + -4)

Reorder the terms for easier multiplication:
6(9 + n) = 7(n + -4)
(9 * 6 + n * 6) = 7(n + -4)
(54 + 6n) = 7(n + -4)

Reorder the terms:
54 + 6n = 7(-4 + n)
54 + 6n = (-4 * 7 + n * 7)
54 + 6n = (-28 + 7n)

Solving
54 + 6n = -28 + 7n

Solving for variable 'n'.

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

Add '-7n' to each side of the equation.
54 + 6n + -7n = -28 + 7n + -7n

Combine like terms: 6n + -7n = -1n
54 + -1n = -28 + 7n + -7n

Combine like terms: 7n + -7n = 0
54 + -1n = -28 + 0
54 + -1n = -28

Add '-54' to each side of the equation.
54 + -54 + -1n = -28 + -54

Combine like terms: 54 + -54 = 0
0 + -1n = -28 + -54
-1n = -28 + -54

Combine like terms: -28 + -54 = -82
-1n = -82

Divide each side by '-1'.
n = 82

Simplifying
n = 82

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