0.8(5n+10)=-6n+50+8n

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Solution for 0.8(5n+10)=-6n+50+8n equation:


Simplifying
0.8(5n + 10) = -6n + 50 + 8n

Reorder the terms:
0.8(10 + 5n) = -6n + 50 + 8n
(10 * 0.8 + 5n * 0.8) = -6n + 50 + 8n
(8 + 4n) = -6n + 50 + 8n

Reorder the terms:
8 + 4n = 50 + -6n + 8n

Combine like terms: -6n + 8n = 2n
8 + 4n = 50 + 2n

Solving
8 + 4n = 50 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
8 + 4n + -2n = 50 + 2n + -2n

Combine like terms: 4n + -2n = 2n
8 + 2n = 50 + 2n + -2n

Combine like terms: 2n + -2n = 0
8 + 2n = 50 + 0
8 + 2n = 50

Add '-8' to each side of the equation.
8 + -8 + 2n = 50 + -8

Combine like terms: 8 + -8 = 0
0 + 2n = 50 + -8
2n = 50 + -8

Combine like terms: 50 + -8 = 42
2n = 42

Divide each side by '2'.
n = 21

Simplifying
n = 21

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