-40=8(4p-8)-8(3+2p)

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Solution for -40=8(4p-8)-8(3+2p) equation:


Simplifying
-40 = 8(4p + -8) + -8(3 + 2p)

Reorder the terms:
-40 = 8(-8 + 4p) + -8(3 + 2p)
-40 = (-8 * 8 + 4p * 8) + -8(3 + 2p)
-40 = (-64 + 32p) + -8(3 + 2p)
-40 = -64 + 32p + (3 * -8 + 2p * -8)
-40 = -64 + 32p + (-24 + -16p)

Reorder the terms:
-40 = -64 + -24 + 32p + -16p

Combine like terms: -64 + -24 = -88
-40 = -88 + 32p + -16p

Combine like terms: 32p + -16p = 16p
-40 = -88 + 16p

Solving
-40 = -88 + 16p

Solving for variable 'p'.

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

Add '-16p' to each side of the equation.
-40 + -16p = -88 + 16p + -16p

Combine like terms: 16p + -16p = 0
-40 + -16p = -88 + 0
-40 + -16p = -88

Add '40' to each side of the equation.
-40 + 40 + -16p = -88 + 40

Combine like terms: -40 + 40 = 0
0 + -16p = -88 + 40
-16p = -88 + 40

Combine like terms: -88 + 40 = -48
-16p = -48

Divide each side by '-16'.
p = 3

Simplifying
p = 3

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