-5(5p+2)-34=2(2p+7)

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Solution for -5(5p+2)-34=2(2p+7) equation:


Simplifying
-5(5p + 2) + -34 = 2(2p + 7)

Reorder the terms:
-5(2 + 5p) + -34 = 2(2p + 7)
(2 * -5 + 5p * -5) + -34 = 2(2p + 7)
(-10 + -25p) + -34 = 2(2p + 7)

Reorder the terms:
-10 + -34 + -25p = 2(2p + 7)

Combine like terms: -10 + -34 = -44
-44 + -25p = 2(2p + 7)

Reorder the terms:
-44 + -25p = 2(7 + 2p)
-44 + -25p = (7 * 2 + 2p * 2)
-44 + -25p = (14 + 4p)

Solving
-44 + -25p = 14 + 4p

Solving for variable 'p'.

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

Add '-4p' to each side of the equation.
-44 + -25p + -4p = 14 + 4p + -4p

Combine like terms: -25p + -4p = -29p
-44 + -29p = 14 + 4p + -4p

Combine like terms: 4p + -4p = 0
-44 + -29p = 14 + 0
-44 + -29p = 14

Add '44' to each side of the equation.
-44 + 44 + -29p = 14 + 44

Combine like terms: -44 + 44 = 0
0 + -29p = 14 + 44
-29p = 14 + 44

Combine like terms: 14 + 44 = 58
-29p = 58

Divide each side by '-29'.
p = -2

Simplifying
p = -2

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