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

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


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

Reorder the terms:
5(2 + 2n) = 7(9n + 5) + 7
(2 * 5 + 2n * 5) = 7(9n + 5) + 7
(10 + 10n) = 7(9n + 5) + 7

Reorder the terms:
10 + 10n = 7(5 + 9n) + 7
10 + 10n = (5 * 7 + 9n * 7) + 7
10 + 10n = (35 + 63n) + 7

Reorder the terms:
10 + 10n = 35 + 7 + 63n

Combine like terms: 35 + 7 = 42
10 + 10n = 42 + 63n

Solving
10 + 10n = 42 + 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.
10 + 10n + -63n = 42 + 63n + -63n

Combine like terms: 10n + -63n = -53n
10 + -53n = 42 + 63n + -63n

Combine like terms: 63n + -63n = 0
10 + -53n = 42 + 0
10 + -53n = 42

Add '-10' to each side of the equation.
10 + -10 + -53n = 42 + -10

Combine like terms: 10 + -10 = 0
0 + -53n = 42 + -10
-53n = 42 + -10

Combine like terms: 42 + -10 = 32
-53n = 32

Divide each side by '-53'.
n = -0.6037735849

Simplifying
n = -0.6037735849

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