3(3n+5)=7(7n+9)+8

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Solution for 3(3n+5)=7(7n+9)+8 equation: 


Simplifying
3(3n + 5) = 7(7n + 9) + 8

Reorder the terms:
3(5 + 3n) = 7(7n + 9) + 8
(5 * 3 + 3n * 3) = 7(7n + 9) + 8
(15 + 9n) = 7(7n + 9) + 8

Reorder the terms:
15 + 9n = 7(9 + 7n) + 8
15 + 9n = (9 * 7 + 7n * 7) + 8
15 + 9n = (63 + 49n) + 8

Reorder the terms:
15 + 9n = 63 + 8 + 49n

Combine like terms: 63 + 8 = 71
15 + 9n = 71 + 49n

Solving
15 + 9n = 71 + 49n

Solving for variable 'n'.

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

Add '-49n' to each side of the equation.
15 + 9n + -49n = 71 + 49n + -49n

Combine like terms: 9n + -49n = -40n
15 + -40n = 71 + 49n + -49n

Combine like terms: 49n + -49n = 0
15 + -40n = 71 + 0
15 + -40n = 71

Add '-15' to each side of the equation.
15 + -15 + -40n = 71 + -15

Combine like terms: 15 + -15 = 0
0 + -40n = 71 + -15
-40n = 71 + -15

Combine like terms: 71 + -15 = 56
-40n = 56

Divide each side by '-40'.
n = -1.4

Simplifying
n = -1.4

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