-38=4(6p+2)-2(1+p)

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Solution for -38=4(6p+2)-2(1+p) equation:


Simplifying
-38 = 4(6p + 2) + -2(1 + p)

Reorder the terms:
-38 = 4(2 + 6p) + -2(1 + p)
-38 = (2 * 4 + 6p * 4) + -2(1 + p)
-38 = (8 + 24p) + -2(1 + p)
-38 = 8 + 24p + (1 * -2 + p * -2)
-38 = 8 + 24p + (-2 + -2p)

Reorder the terms:
-38 = 8 + -2 + 24p + -2p

Combine like terms: 8 + -2 = 6
-38 = 6 + 24p + -2p

Combine like terms: 24p + -2p = 22p
-38 = 6 + 22p

Solving
-38 = 6 + 22p

Solving for variable 'p'.

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

Add '-22p' to each side of the equation.
-38 + -22p = 6 + 22p + -22p

Combine like terms: 22p + -22p = 0
-38 + -22p = 6 + 0
-38 + -22p = 6

Add '38' to each side of the equation.
-38 + 38 + -22p = 6 + 38

Combine like terms: -38 + 38 = 0
0 + -22p = 6 + 38
-22p = 6 + 38

Combine like terms: 6 + 38 = 44
-22p = 44

Divide each side by '-22'.
p = -2

Simplifying
p = -2

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