5(3n+3)=7(9n+5)+2

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Solution for 5(3n+3)=7(9n+5)+2 equation: 


Simplifying
5(3n + 3) = 7(9n + 5) + 2

Reorder the terms:
5(3 + 3n) = 7(9n + 5) + 2
(3 * 5 + 3n * 5) = 7(9n + 5) + 2
(15 + 15n) = 7(9n + 5) + 2

Reorder the terms:
15 + 15n = 7(5 + 9n) + 2
15 + 15n = (5 * 7 + 9n * 7) + 2
15 + 15n = (35 + 63n) + 2

Reorder the terms:
15 + 15n = 35 + 2 + 63n

Combine like terms: 35 + 2 = 37
15 + 15n = 37 + 63n

Solving
15 + 15n = 37 + 63n

Solving for variable 'n'.

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

Add '-63n' to each side of the equation.
15 + 15n + -63n = 37 + 63n + -63n

Combine like terms: 15n + -63n = -48n
15 + -48n = 37 + 63n + -63n

Combine like terms: 63n + -63n = 0
15 + -48n = 37 + 0
15 + -48n = 37

Add '-15' to each side of the equation.
15 + -15 + -48n = 37 + -15

Combine like terms: 15 + -15 = 0
0 + -48n = 37 + -15
-48n = 37 + -15

Combine like terms: 37 + -15 = 22
-48n = 22

Divide each side by '-48'.
n = -0.4583333333

Simplifying
n = -0.4583333333

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