9(2n+5)=8(7n+1)+9

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Solution for 9(2n+5)=8(7n+1)+9 equation:


Simplifying
9(2n + 5) = 8(7n + 1) + 9

Reorder the terms:
9(5 + 2n) = 8(7n + 1) + 9
(5 * 9 + 2n * 9) = 8(7n + 1) + 9
(45 + 18n) = 8(7n + 1) + 9

Reorder the terms:
45 + 18n = 8(1 + 7n) + 9
45 + 18n = (1 * 8 + 7n * 8) + 9
45 + 18n = (8 + 56n) + 9

Reorder the terms:
45 + 18n = 8 + 9 + 56n

Combine like terms: 8 + 9 = 17
45 + 18n = 17 + 56n

Solving
45 + 18n = 17 + 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.
45 + 18n + -56n = 17 + 56n + -56n

Combine like terms: 18n + -56n = -38n
45 + -38n = 17 + 56n + -56n

Combine like terms: 56n + -56n = 0
45 + -38n = 17 + 0
45 + -38n = 17

Add '-45' to each side of the equation.
45 + -45 + -38n = 17 + -45

Combine like terms: 45 + -45 = 0
0 + -38n = 17 + -45
-38n = 17 + -45

Combine like terms: 17 + -45 = -28
-38n = -28

Divide each side by '-38'.
n = 0.7368421053

Simplifying
n = 0.7368421053

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