3p-5(5+7p)=-(p-6)

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Solution for 3p-5(5+7p)=-(p-6) equation:


Simplifying
3p + -5(5 + 7p) = -1(p + -6)
3p + (5 * -5 + 7p * -5) = -1(p + -6)
3p + (-25 + -35p) = -1(p + -6)

Reorder the terms:
-25 + 3p + -35p = -1(p + -6)

Combine like terms: 3p + -35p = -32p
-25 + -32p = -1(p + -6)

Reorder the terms:
-25 + -32p = -1(-6 + p)
-25 + -32p = (-6 * -1 + p * -1)
-25 + -32p = (6 + -1p)

Solving
-25 + -32p = 6 + -1p

Solving for variable 'p'.

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

Add 'p' to each side of the equation.
-25 + -32p + p = 6 + -1p + p

Combine like terms: -32p + p = -31p
-25 + -31p = 6 + -1p + p

Combine like terms: -1p + p = 0
-25 + -31p = 6 + 0
-25 + -31p = 6

Add '25' to each side of the equation.
-25 + 25 + -31p = 6 + 25

Combine like terms: -25 + 25 = 0
0 + -31p = 6 + 25
-31p = 6 + 25

Combine like terms: 6 + 25 = 31
-31p = 31

Divide each side by '-31'.
p = -1

Simplifying
p = -1

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