5p(2p-7)-2p(5p-16)=-24

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Solution for 5p(2p-7)-2p(5p-16)=-24 equation: 


Simplifying
5p(2p + -7) + -2p(5p + -16) = -24

Reorder the terms:
5p(-7 + 2p) + -2p(5p + -16) = -24
(-7 * 5p + 2p * 5p) + -2p(5p + -16) = -24
(-35p + 10p2) + -2p(5p + -16) = -24

Reorder the terms:
-35p + 10p2 + -2p(-16 + 5p) = -24
-35p + 10p2 + (-16 * -2p + 5p * -2p) = -24
-35p + 10p2 + (32p + -10p2) = -24

Reorder the terms:
-35p + 32p + 10p2 + -10p2 = -24

Combine like terms: -35p + 32p = -3p
-3p + 10p2 + -10p2 = -24

Combine like terms: 10p2 + -10p2 = 0
-3p + 0 = -24
-3p = -24

Solving
-3p = -24

Solving for variable 'p'.

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

Divide each side by '-3'.
p = 8

Simplifying
p = 8

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