3(n-5)=-2(n-10)

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Solution for 3(n-5)=-2(n-10) equation:


Simplifying
3(n + -5) = -2(n + -10)

Reorder the terms:
3(-5 + n) = -2(n + -10)
(-5 * 3 + n * 3) = -2(n + -10)
(-15 + 3n) = -2(n + -10)

Reorder the terms:
-15 + 3n = -2(-10 + n)
-15 + 3n = (-10 * -2 + n * -2)
-15 + 3n = (20 + -2n)

Solving
-15 + 3n = 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.
-15 + 3n + 2n = 20 + -2n + 2n

Combine like terms: 3n + 2n = 5n
-15 + 5n = 20 + -2n + 2n

Combine like terms: -2n + 2n = 0
-15 + 5n = 20 + 0
-15 + 5n = 20

Add '15' to each side of the equation.
-15 + 15 + 5n = 20 + 15

Combine like terms: -15 + 15 = 0
0 + 5n = 20 + 15
5n = 20 + 15

Combine like terms: 20 + 15 = 35
5n = 35

Divide each side by '5'.
n = 7

Simplifying
n = 7

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