3(2n+5)=-(n-50)

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Solution for 3(2n+5)=-(n-50) equation:


Simplifying
3(2n + 5) = -1(n + -50)

Reorder the terms:
3(5 + 2n) = -1(n + -50)
(5 * 3 + 2n * 3) = -1(n + -50)
(15 + 6n) = -1(n + -50)

Reorder the terms:
15 + 6n = -1(-50 + n)
15 + 6n = (-50 * -1 + n * -1)
15 + 6n = (50 + -1n)

Solving
15 + 6n = 50 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
15 + 6n + n = 50 + -1n + n

Combine like terms: 6n + n = 7n
15 + 7n = 50 + -1n + n

Combine like terms: -1n + n = 0
15 + 7n = 50 + 0
15 + 7n = 50

Add '-15' to each side of the equation.
15 + -15 + 7n = 50 + -15

Combine like terms: 15 + -15 = 0
0 + 7n = 50 + -15
7n = 50 + -15

Combine like terms: 50 + -15 = 35
7n = 35

Divide each side by '7'.
n = 5

Simplifying
n = 5

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