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

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


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

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

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

Reorder the terms for easier multiplication:
18 + 18n = 7 * 2(9 + 7n)

Multiply 7 * 2
18 + 18n = 14(9 + 7n)
18 + 18n = (9 * 14 + 7n * 14)
18 + 18n = (126 + 98n)

Solving
18 + 18n = 126 + 98n

Solving for variable 'n'.

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

Add '-98n' to each side of the equation.
18 + 18n + -98n = 126 + 98n + -98n

Combine like terms: 18n + -98n = -80n
18 + -80n = 126 + 98n + -98n

Combine like terms: 98n + -98n = 0
18 + -80n = 126 + 0
18 + -80n = 126

Add '-18' to each side of the equation.
18 + -18 + -80n = 126 + -18

Combine like terms: 18 + -18 = 0
0 + -80n = 126 + -18
-80n = 126 + -18

Combine like terms: 126 + -18 = 108
-80n = 108

Divide each side by '-80'.
n = -1.35

Simplifying
n = -1.35

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