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

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


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

Reorder the terms:
-5(3 + 2p) + -45 = 3(4p + 2)
(3 * -5 + 2p * -5) + -45 = 3(4p + 2)
(-15 + -10p) + -45 = 3(4p + 2)

Reorder the terms:
-15 + -45 + -10p = 3(4p + 2)

Combine like terms: -15 + -45 = -60
-60 + -10p = 3(4p + 2)

Reorder the terms:
-60 + -10p = 3(2 + 4p)
-60 + -10p = (2 * 3 + 4p * 3)
-60 + -10p = (6 + 12p)

Solving
-60 + -10p = 6 + 12p

Solving for variable 'p'.

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

Add '-12p' to each side of the equation.
-60 + -10p + -12p = 6 + 12p + -12p

Combine like terms: -10p + -12p = -22p
-60 + -22p = 6 + 12p + -12p

Combine like terms: 12p + -12p = 0
-60 + -22p = 6 + 0
-60 + -22p = 6

Add '60' to each side of the equation.
-60 + 60 + -22p = 6 + 60

Combine like terms: -60 + 60 = 0
0 + -22p = 6 + 60
-22p = 6 + 60

Combine like terms: 6 + 60 = 66
-22p = 66

Divide each side by '-22'.
p = -3

Simplifying
p = -3

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