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

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


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

Reorder the terms:
2(5 + 3n) = 8(5n + 8) + 8
(5 * 2 + 3n * 2) = 8(5n + 8) + 8
(10 + 6n) = 8(5n + 8) + 8

Reorder the terms:
10 + 6n = 8(8 + 5n) + 8
10 + 6n = (8 * 8 + 5n * 8) + 8
10 + 6n = (64 + 40n) + 8

Reorder the terms:
10 + 6n = 64 + 8 + 40n

Combine like terms: 64 + 8 = 72
10 + 6n = 72 + 40n

Solving
10 + 6n = 72 + 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.
10 + 6n + -40n = 72 + 40n + -40n

Combine like terms: 6n + -40n = -34n
10 + -34n = 72 + 40n + -40n

Combine like terms: 40n + -40n = 0
10 + -34n = 72 + 0
10 + -34n = 72

Add '-10' to each side of the equation.
10 + -10 + -34n = 72 + -10

Combine like terms: 10 + -10 = 0
0 + -34n = 72 + -10
-34n = 72 + -10

Combine like terms: 72 + -10 = 62
-34n = 62

Divide each side by '-34'.
n = -1.823529412

Simplifying
n = -1.823529412

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