4(n+5)=2n+10

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Solution for 4(n+5)=2n+10 equation: 


Simplifying
4(n + 5) = 2n + 10

Reorder the terms:
4(5 + n) = 2n + 10
(5 * 4 + n * 4) = 2n + 10
(20 + 4n) = 2n + 10

Reorder the terms:
20 + 4n = 10 + 2n

Solving
20 + 4n = 10 + 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.
20 + 4n + -2n = 10 + 2n + -2n

Combine like terms: 4n + -2n = 2n
20 + 2n = 10 + 2n + -2n

Combine like terms: 2n + -2n = 0
20 + 2n = 10 + 0
20 + 2n = 10

Add '-20' to each side of the equation.
20 + -20 + 2n = 10 + -20

Combine like terms: 20 + -20 = 0
0 + 2n = 10 + -20
2n = 10 + -20

Combine like terms: 10 + -20 = -10
2n = -10

Divide each side by '2'.
n = -5

Simplifying
n = -5

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