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

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


Simplifying
2(1 + 4n) = 5(n + -2)
(1 * 2 + 4n * 2) = 5(n + -2)
(2 + 8n) = 5(n + -2)

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

Solving
2 + 8n = -10 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + 8n + -5n = -10 + 5n + -5n

Combine like terms: 8n + -5n = 3n
2 + 3n = -10 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + 3n = -10 + 0
2 + 3n = -10

Add '-2' to each side of the equation.
2 + -2 + 3n = -10 + -2

Combine like terms: 2 + -2 = 0
0 + 3n = -10 + -2
3n = -10 + -2

Combine like terms: -10 + -2 = -12
3n = -12

Divide each side by '3'.
n = -4

Simplifying
n = -4

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