-4(2p+4)-38=5(4p+6)

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Solution for -4(2p+4)-38=5(4p+6) equation:


Simplifying
-4(2p + 4) + -38 = 5(4p + 6)

Reorder the terms:
-4(4 + 2p) + -38 = 5(4p + 6)
(4 * -4 + 2p * -4) + -38 = 5(4p + 6)
(-16 + -8p) + -38 = 5(4p + 6)

Reorder the terms:
-16 + -38 + -8p = 5(4p + 6)

Combine like terms: -16 + -38 = -54
-54 + -8p = 5(4p + 6)

Reorder the terms:
-54 + -8p = 5(6 + 4p)
-54 + -8p = (6 * 5 + 4p * 5)
-54 + -8p = (30 + 20p)

Solving
-54 + -8p = 30 + 20p

Solving for variable 'p'.

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

Add '-20p' to each side of the equation.
-54 + -8p + -20p = 30 + 20p + -20p

Combine like terms: -8p + -20p = -28p
-54 + -28p = 30 + 20p + -20p

Combine like terms: 20p + -20p = 0
-54 + -28p = 30 + 0
-54 + -28p = 30

Add '54' to each side of the equation.
-54 + 54 + -28p = 30 + 54

Combine like terms: -54 + 54 = 0
0 + -28p = 30 + 54
-28p = 30 + 54

Combine like terms: 30 + 54 = 84
-28p = 84

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

Simplifying
p = -3

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