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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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