4(n+13)=2(n-10)

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Solution for 4(n+13)=2(n-10) equation:


Simplifying
4(n + 13) = 2(n + -10)

Reorder the terms:
4(13 + n) = 2(n + -10)
(13 * 4 + n * 4) = 2(n + -10)
(52 + 4n) = 2(n + -10)

Reorder the terms:
52 + 4n = 2(-10 + n)
52 + 4n = (-10 * 2 + n * 2)
52 + 4n = (-20 + 2n)

Solving
52 + 4n = -20 + 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.
52 + 4n + -2n = -20 + 2n + -2n

Combine like terms: 4n + -2n = 2n
52 + 2n = -20 + 2n + -2n

Combine like terms: 2n + -2n = 0
52 + 2n = -20 + 0
52 + 2n = -20

Add '-52' to each side of the equation.
52 + -52 + 2n = -20 + -52

Combine like terms: 52 + -52 = 0
0 + 2n = -20 + -52
2n = -20 + -52

Combine like terms: -20 + -52 = -72
2n = -72

Divide each side by '2'.
n = -36

Simplifying
n = -36

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