5(2n+2)=8(3n+9)+2

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Solution for 5(2n+2)=8(3n+9)+2 equation: 


Simplifying
5(2n + 2) = 8(3n + 9) + 2

Reorder the terms:
5(2 + 2n) = 8(3n + 9) + 2
(2 * 5 + 2n * 5) = 8(3n + 9) + 2
(10 + 10n) = 8(3n + 9) + 2

Reorder the terms:
10 + 10n = 8(9 + 3n) + 2
10 + 10n = (9 * 8 + 3n * 8) + 2
10 + 10n = (72 + 24n) + 2

Reorder the terms:
10 + 10n = 72 + 2 + 24n

Combine like terms: 72 + 2 = 74
10 + 10n = 74 + 24n

Solving
10 + 10n = 74 + 24n

Solving for variable 'n'.

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

Add '-24n' to each side of the equation.
10 + 10n + -24n = 74 + 24n + -24n

Combine like terms: 10n + -24n = -14n
10 + -14n = 74 + 24n + -24n

Combine like terms: 24n + -24n = 0
10 + -14n = 74 + 0
10 + -14n = 74

Add '-10' to each side of the equation.
10 + -10 + -14n = 74 + -10

Combine like terms: 10 + -10 = 0
0 + -14n = 74 + -10
-14n = 74 + -10

Combine like terms: 74 + -10 = 64
-14n = 64

Divide each side by '-14'.
n = -4.571428571

Simplifying
n = -4.571428571

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