9(2n+4)=7(5n+9)+7

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Solution for 9(2n+4)=7(5n+9)+7 equation: 


Simplifying
9(2n + 4) = 7(5n + 9) + 7

Reorder the terms:
9(4 + 2n) = 7(5n + 9) + 7
(4 * 9 + 2n * 9) = 7(5n + 9) + 7
(36 + 18n) = 7(5n + 9) + 7

Reorder the terms:
36 + 18n = 7(9 + 5n) + 7
36 + 18n = (9 * 7 + 5n * 7) + 7
36 + 18n = (63 + 35n) + 7

Reorder the terms:
36 + 18n = 63 + 7 + 35n

Combine like terms: 63 + 7 = 70
36 + 18n = 70 + 35n

Solving
36 + 18n = 70 + 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.
36 + 18n + -35n = 70 + 35n + -35n

Combine like terms: 18n + -35n = -17n
36 + -17n = 70 + 35n + -35n

Combine like terms: 35n + -35n = 0
36 + -17n = 70 + 0
36 + -17n = 70

Add '-36' to each side of the equation.
36 + -36 + -17n = 70 + -36

Combine like terms: 36 + -36 = 0
0 + -17n = 70 + -36
-17n = 70 + -36

Combine like terms: 70 + -36 = 34
-17n = 34

Divide each side by '-17'.
n = -2

Simplifying
n = -2

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