8(2n+3)=8(5n+7)+8

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Solution for 8(2n+3)=8(5n+7)+8 equation: 


Simplifying
8(2n + 3) = 8(5n + 7) + 8

Reorder the terms:
8(3 + 2n) = 8(5n + 7) + 8
(3 * 8 + 2n * 8) = 8(5n + 7) + 8
(24 + 16n) = 8(5n + 7) + 8

Reorder the terms:
24 + 16n = 8(7 + 5n) + 8
24 + 16n = (7 * 8 + 5n * 8) + 8
24 + 16n = (56 + 40n) + 8

Reorder the terms:
24 + 16n = 56 + 8 + 40n

Combine like terms: 56 + 8 = 64
24 + 16n = 64 + 40n

Solving
24 + 16n = 64 + 40n

Solving for variable 'n'.

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

Add '-40n' to each side of the equation.
24 + 16n + -40n = 64 + 40n + -40n

Combine like terms: 16n + -40n = -24n
24 + -24n = 64 + 40n + -40n

Combine like terms: 40n + -40n = 0
24 + -24n = 64 + 0
24 + -24n = 64

Add '-24' to each side of the equation.
24 + -24 + -24n = 64 + -24

Combine like terms: 24 + -24 = 0
0 + -24n = 64 + -24
-24n = 64 + -24

Combine like terms: 64 + -24 = 40
-24n = 40

Divide each side by '-24'.
n = -1.666666667

Simplifying
n = -1.666666667

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