5(n-3)=-2n-6

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Solution for 5(n-3)=-2n-6 equation:


Simplifying
5(n + -3) = -2n + -6

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

Reorder the terms:
-15 + 5n = -6 + -2n

Solving
-15 + 5n = -6 + -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 + 5n + 2n = -6 + -2n + 2n

Combine like terms: 5n + 2n = 7n
-15 + 7n = -6 + -2n + 2n

Combine like terms: -2n + 2n = 0
-15 + 7n = -6 + 0
-15 + 7n = -6

Add '15' to each side of the equation.
-15 + 15 + 7n = -6 + 15

Combine like terms: -15 + 15 = 0
0 + 7n = -6 + 15
7n = -6 + 15

Combine like terms: -6 + 15 = 9
7n = 9

Divide each side by '7'.
n = 1.285714286

Simplifying
n = 1.285714286

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