p-7=-5(-3p-7)

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Solution for p-7=-5(-3p-7) equation:


Simplifying
p + -7 = -5(-3p + -7)

Reorder the terms:
-7 + p = -5(-3p + -7)

Reorder the terms:
-7 + p = -5(-7 + -3p)
-7 + p = (-7 * -5 + -3p * -5)
-7 + p = (35 + 15p)

Solving
-7 + p = 35 + 15p

Solving for variable 'p'.

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

Add '-15p' to each side of the equation.
-7 + p + -15p = 35 + 15p + -15p

Combine like terms: p + -15p = -14p
-7 + -14p = 35 + 15p + -15p

Combine like terms: 15p + -15p = 0
-7 + -14p = 35 + 0
-7 + -14p = 35

Add '7' to each side of the equation.
-7 + 7 + -14p = 35 + 7

Combine like terms: -7 + 7 = 0
0 + -14p = 35 + 7
-14p = 35 + 7

Combine like terms: 35 + 7 = 42
-14p = 42

Divide each side by '-14'.
p = -3

Simplifying
p = -3

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