-5(3p+n)+3p-15=-12p-10

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Solution for -5(3p+n)+3p-15=-12p-10 equation:


Simplifying
-5(3p + n) + 3p + -15 = -12p + -10

Reorder the terms:
-5(n + 3p) + 3p + -15 = -12p + -10
(n * -5 + 3p * -5) + 3p + -15 = -12p + -10
(-5n + -15p) + 3p + -15 = -12p + -10

Reorder the terms:
-15 + -5n + -15p + 3p = -12p + -10

Combine like terms: -15p + 3p = -12p
-15 + -5n + -12p = -12p + -10

Reorder the terms:
-15 + -5n + -12p = -10 + -12p

Add '12p' to each side of the equation.
-15 + -5n + -12p + 12p = -10 + -12p + 12p

Combine like terms: -12p + 12p = 0
-15 + -5n + 0 = -10 + -12p + 12p
-15 + -5n = -10 + -12p + 12p

Combine like terms: -12p + 12p = 0
-15 + -5n = -10 + 0
-15 + -5n = -10

Solving
-15 + -5n = -10

Solving for variable 'n'.

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

Add '15' to each side of the equation.
-15 + 15 + -5n = -10 + 15

Combine like terms: -15 + 15 = 0
0 + -5n = -10 + 15
-5n = -10 + 15

Combine like terms: -10 + 15 = 5
-5n = 5

Divide each side by '-5'.
n = -1

Simplifying
n = -1

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