9(8n+4)=-7(7n-3)

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Solution for 9(8n+4)=-7(7n-3) equation:


Simplifying
9(8n + 4) = -7(7n + -3)

Reorder the terms:
9(4 + 8n) = -7(7n + -3)
(4 * 9 + 8n * 9) = -7(7n + -3)
(36 + 72n) = -7(7n + -3)

Reorder the terms:
36 + 72n = -7(-3 + 7n)
36 + 72n = (-3 * -7 + 7n * -7)
36 + 72n = (21 + -49n)

Solving
36 + 72n = 21 + -49n

Solving for variable 'n'.

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

Add '49n' to each side of the equation.
36 + 72n + 49n = 21 + -49n + 49n

Combine like terms: 72n + 49n = 121n
36 + 121n = 21 + -49n + 49n

Combine like terms: -49n + 49n = 0
36 + 121n = 21 + 0
36 + 121n = 21

Add '-36' to each side of the equation.
36 + -36 + 121n = 21 + -36

Combine like terms: 36 + -36 = 0
0 + 121n = 21 + -36
121n = 21 + -36

Combine like terms: 21 + -36 = -15
121n = -15

Divide each side by '121'.
n = -0.1239669421

Simplifying
n = -0.1239669421

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