9(2n+4)=7(6n+8)+7

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Solution for 9(2n+4)=7(6n+8)+7 equation: 


Simplifying
9(2n + 4) = 7(6n + 8) + 7

Reorder the terms:
9(4 + 2n) = 7(6n + 8) + 7
(4 * 9 + 2n * 9) = 7(6n + 8) + 7
(36 + 18n) = 7(6n + 8) + 7

Reorder the terms:
36 + 18n = 7(8 + 6n) + 7
36 + 18n = (8 * 7 + 6n * 7) + 7
36 + 18n = (56 + 42n) + 7

Reorder the terms:
36 + 18n = 56 + 7 + 42n

Combine like terms: 56 + 7 = 63
36 + 18n = 63 + 42n

Solving
36 + 18n = 63 + 42n

Solving for variable 'n'.

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

Add '-42n' to each side of the equation.
36 + 18n + -42n = 63 + 42n + -42n

Combine like terms: 18n + -42n = -24n
36 + -24n = 63 + 42n + -42n

Combine like terms: 42n + -42n = 0
36 + -24n = 63 + 0
36 + -24n = 63

Add '-36' to each side of the equation.
36 + -36 + -24n = 63 + -36

Combine like terms: 36 + -36 = 0
0 + -24n = 63 + -36
-24n = 63 + -36

Combine like terms: 63 + -36 = 27
-24n = 27

Divide each side by '-24'.
n = -1.125

Simplifying
n = -1.125

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