5(2n+2)=7(4n+5)+1

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Solution for 5(2n+2)=7(4n+5)+1 equation: 


Simplifying
5(2n + 2) = 7(4n + 5) + 1

Reorder the terms:
5(2 + 2n) = 7(4n + 5) + 1
(2 * 5 + 2n * 5) = 7(4n + 5) + 1
(10 + 10n) = 7(4n + 5) + 1

Reorder the terms:
10 + 10n = 7(5 + 4n) + 1
10 + 10n = (5 * 7 + 4n * 7) + 1
10 + 10n = (35 + 28n) + 1

Reorder the terms:
10 + 10n = 35 + 1 + 28n

Combine like terms: 35 + 1 = 36
10 + 10n = 36 + 28n

Solving
10 + 10n = 36 + 28n

Solving for variable 'n'.

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

Add '-28n' to each side of the equation.
10 + 10n + -28n = 36 + 28n + -28n

Combine like terms: 10n + -28n = -18n
10 + -18n = 36 + 28n + -28n

Combine like terms: 28n + -28n = 0
10 + -18n = 36 + 0
10 + -18n = 36

Add '-10' to each side of the equation.
10 + -10 + -18n = 36 + -10

Combine like terms: 10 + -10 = 0
0 + -18n = 36 + -10
-18n = 36 + -10

Combine like terms: 36 + -10 = 26
-18n = 26

Divide each side by '-18'.
n = -1.444444444

Simplifying
n = -1.444444444

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