-7(2p+3)-31=2(4p+7)

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Solution for -7(2p+3)-31=2(4p+7) equation:


Simplifying
-7(2p + 3) + -31 = 2(4p + 7)

Reorder the terms:
-7(3 + 2p) + -31 = 2(4p + 7)
(3 * -7 + 2p * -7) + -31 = 2(4p + 7)
(-21 + -14p) + -31 = 2(4p + 7)

Reorder the terms:
-21 + -31 + -14p = 2(4p + 7)

Combine like terms: -21 + -31 = -52
-52 + -14p = 2(4p + 7)

Reorder the terms:
-52 + -14p = 2(7 + 4p)
-52 + -14p = (7 * 2 + 4p * 2)
-52 + -14p = (14 + 8p)

Solving
-52 + -14p = 14 + 8p

Solving for variable 'p'.

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

Add '-8p' to each side of the equation.
-52 + -14p + -8p = 14 + 8p + -8p

Combine like terms: -14p + -8p = -22p
-52 + -22p = 14 + 8p + -8p

Combine like terms: 8p + -8p = 0
-52 + -22p = 14 + 0
-52 + -22p = 14

Add '52' to each side of the equation.
-52 + 52 + -22p = 14 + 52

Combine like terms: -52 + 52 = 0
0 + -22p = 14 + 52
-22p = 14 + 52

Combine like terms: 14 + 52 = 66
-22p = 66

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

Simplifying
p = -3

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