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Simplifying -3(p + -8) = -2(p + -4) Reorder the terms: -3(-8 + p) = -2(p + -4) (-8 * -3 + p * -3) = -2(p + -4) (24 + -3p) = -2(p + -4) Reorder the terms: 24 + -3p = -2(-4 + p) 24 + -3p = (-4 * -2 + p * -2) 24 + -3p = (8 + -2p) Solving 24 + -3p = 8 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 24 + -3p + 2p = 8 + -2p + 2p Combine like terms: -3p + 2p = -1p 24 + -1p = 8 + -2p + 2p Combine like terms: -2p + 2p = 0 24 + -1p = 8 + 0 24 + -1p = 8 Add '-24' to each side of the equation. 24 + -24 + -1p = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -1p = 8 + -24 -1p = 8 + -24 Combine like terms: 8 + -24 = -16 -1p = -16 Divide each side by '-1'. p = 16 Simplifying p = 16
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