9(2n+2)=8(7n+4)+5

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Solution for 9(2n+2)=8(7n+4)+5 equation:


Simplifying
9(2n + 2) = 8(7n + 4) + 5

Reorder the terms:
9(2 + 2n) = 8(7n + 4) + 5
(2 * 9 + 2n * 9) = 8(7n + 4) + 5
(18 + 18n) = 8(7n + 4) + 5

Reorder the terms:
18 + 18n = 8(4 + 7n) + 5
18 + 18n = (4 * 8 + 7n * 8) + 5
18 + 18n = (32 + 56n) + 5

Reorder the terms:
18 + 18n = 32 + 5 + 56n

Combine like terms: 32 + 5 = 37
18 + 18n = 37 + 56n

Solving
18 + 18n = 37 + 56n

Solving for variable 'n'.

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

Add '-56n' to each side of the equation.
18 + 18n + -56n = 37 + 56n + -56n

Combine like terms: 18n + -56n = -38n
18 + -38n = 37 + 56n + -56n

Combine like terms: 56n + -56n = 0
18 + -38n = 37 + 0
18 + -38n = 37

Add '-18' to each side of the equation.
18 + -18 + -38n = 37 + -18

Combine like terms: 18 + -18 = 0
0 + -38n = 37 + -18
-38n = 37 + -18

Combine like terms: 37 + -18 = 19
-38n = 19

Divide each side by '-38'.
n = -0.5

Simplifying
n = -0.5

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