-4(4p+2)-42=2(3p+8)

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Solution for -4(4p+2)-42=2(3p+8) equation: 


Simplifying
-4(4p + 2) + -42 = 2(3p + 8)

Reorder the terms:
-4(2 + 4p) + -42 = 2(3p + 8)
(2 * -4 + 4p * -4) + -42 = 2(3p + 8)
(-8 + -16p) + -42 = 2(3p + 8)

Reorder the terms:
-8 + -42 + -16p = 2(3p + 8)

Combine like terms: -8 + -42 = -50
-50 + -16p = 2(3p + 8)

Reorder the terms:
-50 + -16p = 2(8 + 3p)
-50 + -16p = (8 * 2 + 3p * 2)
-50 + -16p = (16 + 6p)

Solving
-50 + -16p = 16 + 6p

Solving for variable 'p'.

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

Add '-6p' to each side of the equation.
-50 + -16p + -6p = 16 + 6p + -6p

Combine like terms: -16p + -6p = -22p
-50 + -22p = 16 + 6p + -6p

Combine like terms: 6p + -6p = 0
-50 + -22p = 16 + 0
-50 + -22p = 16

Add '50' to each side of the equation.
-50 + 50 + -22p = 16 + 50

Combine like terms: -50 + 50 = 0
0 + -22p = 16 + 50
-22p = 16 + 50

Combine like terms: 16 + 50 = 66
-22p = 66

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

Simplifying
p = -3

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