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

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


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

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

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

Combine like terms: -16 + -42 = -58
-58 + -12p = 2(5p + 4)

Reorder the terms:
-58 + -12p = 2(4 + 5p)
-58 + -12p = (4 * 2 + 5p * 2)
-58 + -12p = (8 + 10p)

Solving
-58 + -12p = 8 + 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 = 8 + 10p + -10p

Combine like terms: -12p + -10p = -22p
-58 + -22p = 8 + 10p + -10p

Combine like terms: 10p + -10p = 0
-58 + -22p = 8 + 0
-58 + -22p = 8

Add '58' to each side of the equation.
-58 + 58 + -22p = 8 + 58

Combine like terms: -58 + 58 = 0
0 + -22p = 8 + 58
-22p = 8 + 58

Combine like terms: 8 + 58 = 66
-22p = 66

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

Simplifying
p = -3

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