-4(3p+4)-42=5(2p+6)

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Solution for -4(3p+4)-42=5(2p+6) equation:


Simplifying
-4(3p + 4) + -42 = 5(2p + 6)

Reorder the terms:
-4(4 + 3p) + -42 = 5(2p + 6)
(4 * -4 + 3p * -4) + -42 = 5(2p + 6)
(-16 + -12p) + -42 = 5(2p + 6)

Reorder the terms:
-16 + -42 + -12p = 5(2p + 6)

Combine like terms: -16 + -42 = -58
-58 + -12p = 5(2p + 6)

Reorder the terms:
-58 + -12p = 5(6 + 2p)
-58 + -12p = (6 * 5 + 2p * 5)
-58 + -12p = (30 + 10p)

Solving
-58 + -12p = 30 + 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.
-58 + -12p + -10p = 30 + 10p + -10p

Combine like terms: -12p + -10p = -22p
-58 + -22p = 30 + 10p + -10p

Combine like terms: 10p + -10p = 0
-58 + -22p = 30 + 0
-58 + -22p = 30

Add '58' to each side of the equation.
-58 + 58 + -22p = 30 + 58

Combine like terms: -58 + 58 = 0
0 + -22p = 30 + 58
-22p = 30 + 58

Combine like terms: 30 + 58 = 88
-22p = 88

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

Simplifying
p = -4

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