5(3n+3)=7(7n+4)+2

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Solution for 5(3n+3)=7(7n+4)+2 equation: 


Simplifying
5(3n + 3) = 7(7n + 4) + 2

Reorder the terms:
5(3 + 3n) = 7(7n + 4) + 2
(3 * 5 + 3n * 5) = 7(7n + 4) + 2
(15 + 15n) = 7(7n + 4) + 2

Reorder the terms:
15 + 15n = 7(4 + 7n) + 2
15 + 15n = (4 * 7 + 7n * 7) + 2
15 + 15n = (28 + 49n) + 2

Reorder the terms:
15 + 15n = 28 + 2 + 49n

Combine like terms: 28 + 2 = 30
15 + 15n = 30 + 49n

Solving
15 + 15n = 30 + 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 + 15n + -49n = 30 + 49n + -49n

Combine like terms: 15n + -49n = -34n
15 + -34n = 30 + 49n + -49n

Combine like terms: 49n + -49n = 0
15 + -34n = 30 + 0
15 + -34n = 30

Add '-15' to each side of the equation.
15 + -15 + -34n = 30 + -15

Combine like terms: 15 + -15 = 0
0 + -34n = 30 + -15
-34n = 30 + -15

Combine like terms: 30 + -15 = 15
-34n = 15

Divide each side by '-34'.
n = -0.4411764706

Simplifying
n = -0.4411764706

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