5(p+3)=-2(-2-3p)

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


Simplifying
5(p + 3) = -2(-2 + -3p)

Reorder the terms:
5(3 + p) = -2(-2 + -3p)
(3 * 5 + p * 5) = -2(-2 + -3p)
(15 + 5p) = -2(-2 + -3p)
15 + 5p = (-2 * -2 + -3p * -2)
15 + 5p = (4 + 6p)

Solving
15 + 5p = 4 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
15 + 5p + -6p = 4 + 6p + -6p

Combine like terms: 5p + -6p = -1p
15 + -1p = 4 + 6p + -6p

Combine like terms: 6p + -6p = 0
15 + -1p = 4 + 0
15 + -1p = 4

Add '-15' to each side of the equation.
15 + -15 + -1p = 4 + -15

Combine like terms: 15 + -15 = 0
0 + -1p = 4 + -15
-1p = 4 + -15

Combine like terms: 4 + -15 = -11
-1p = -11

Divide each side by '-1'.
p = 11

Simplifying
p = 11

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