-4(3p+2)-45=5(2p+7)

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Solution for -4(3p+2)-45=5(2p+7) equation:


Simplifying
-4(3p + 2) + -45 = 5(2p + 7)

Reorder the terms:
-4(2 + 3p) + -45 = 5(2p + 7)
(2 * -4 + 3p * -4) + -45 = 5(2p + 7)
(-8 + -12p) + -45 = 5(2p + 7)

Reorder the terms:
-8 + -45 + -12p = 5(2p + 7)

Combine like terms: -8 + -45 = -53
-53 + -12p = 5(2p + 7)

Reorder the terms:
-53 + -12p = 5(7 + 2p)
-53 + -12p = (7 * 5 + 2p * 5)
-53 + -12p = (35 + 10p)

Solving
-53 + -12p = 35 + 10p

Solving for variable 'p'.

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

Add '-10p' to each side of the equation.
-53 + -12p + -10p = 35 + 10p + -10p

Combine like terms: -12p + -10p = -22p
-53 + -22p = 35 + 10p + -10p

Combine like terms: 10p + -10p = 0
-53 + -22p = 35 + 0
-53 + -22p = 35

Add '53' to each side of the equation.
-53 + 53 + -22p = 35 + 53

Combine like terms: -53 + 53 = 0
0 + -22p = 35 + 53
-22p = 35 + 53

Combine like terms: 35 + 53 = 88
-22p = 88

Divide each side by '-22'.
p = -4

Simplifying
p = -4

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