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

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


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

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

Reorder the terms:
18 + 18n = 8(9 + 4n) + 7
18 + 18n = (9 * 8 + 4n * 8) + 7
18 + 18n = (72 + 32n) + 7

Reorder the terms:
18 + 18n = 72 + 7 + 32n

Combine like terms: 72 + 7 = 79
18 + 18n = 79 + 32n

Solving
18 + 18n = 79 + 32n

Solving for variable 'n'.

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

Add '-32n' to each side of the equation.
18 + 18n + -32n = 79 + 32n + -32n

Combine like terms: 18n + -32n = -14n
18 + -14n = 79 + 32n + -32n

Combine like terms: 32n + -32n = 0
18 + -14n = 79 + 0
18 + -14n = 79

Add '-18' to each side of the equation.
18 + -18 + -14n = 79 + -18

Combine like terms: 18 + -18 = 0
0 + -14n = 79 + -18
-14n = 79 + -18

Combine like terms: 79 + -18 = 61
-14n = 61

Divide each side by '-14'.
n = -4.357142857

Simplifying
n = -4.357142857

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