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

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


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

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

Reorder the terms:
18 + 18n = 7(7 + 5n) + 7
18 + 18n = (7 * 7 + 5n * 7) + 7
18 + 18n = (49 + 35n) + 7

Reorder the terms:
18 + 18n = 49 + 7 + 35n

Combine like terms: 49 + 7 = 56
18 + 18n = 56 + 35n

Solving
18 + 18n = 56 + 35n

Solving for variable 'n'.

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

Add '-35n' to each side of the equation.
18 + 18n + -35n = 56 + 35n + -35n

Combine like terms: 18n + -35n = -17n
18 + -17n = 56 + 35n + -35n

Combine like terms: 35n + -35n = 0
18 + -17n = 56 + 0
18 + -17n = 56

Add '-18' to each side of the equation.
18 + -18 + -17n = 56 + -18

Combine like terms: 18 + -18 = 0
0 + -17n = 56 + -18
-17n = 56 + -18

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

Divide each side by '-17'.
n = -2.235294118

Simplifying
n = -2.235294118

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