-6(3p+4)-20=5(2p+8)

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Solution for -6(3p+4)-20=5(2p+8) equation:


Simplifying
-6(3p + 4) + -20 = 5(2p + 8)

Reorder the terms:
-6(4 + 3p) + -20 = 5(2p + 8)
(4 * -6 + 3p * -6) + -20 = 5(2p + 8)
(-24 + -18p) + -20 = 5(2p + 8)

Reorder the terms:
-24 + -20 + -18p = 5(2p + 8)

Combine like terms: -24 + -20 = -44
-44 + -18p = 5(2p + 8)

Reorder the terms:
-44 + -18p = 5(8 + 2p)
-44 + -18p = (8 * 5 + 2p * 5)
-44 + -18p = (40 + 10p)

Solving
-44 + -18p = 40 + 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.
-44 + -18p + -10p = 40 + 10p + -10p

Combine like terms: -18p + -10p = -28p
-44 + -28p = 40 + 10p + -10p

Combine like terms: 10p + -10p = 0
-44 + -28p = 40 + 0
-44 + -28p = 40

Add '44' to each side of the equation.
-44 + 44 + -28p = 40 + 44

Combine like terms: -44 + 44 = 0
0 + -28p = 40 + 44
-28p = 40 + 44

Combine like terms: 40 + 44 = 84
-28p = 84

Divide each side by '-28'.
p = -3

Simplifying
p = -3

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