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Simplifying -3(-1p + 8) = -2(-1p + 7) + 3 Reorder the terms: -3(8 + -1p) = -2(-1p + 7) + 3 (8 * -3 + -1p * -3) = -2(-1p + 7) + 3 (-24 + 3p) = -2(-1p + 7) + 3 Reorder the terms: -24 + 3p = -2(7 + -1p) + 3 -24 + 3p = (7 * -2 + -1p * -2) + 3 -24 + 3p = (-14 + 2p) + 3 Reorder the terms: -24 + 3p = -14 + 3 + 2p Combine like terms: -14 + 3 = -11 -24 + 3p = -11 + 2p Solving -24 + 3p = -11 + 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 = -11 + 2p + -2p Combine like terms: 3p + -2p = 1p -24 + 1p = -11 + 2p + -2p Combine like terms: 2p + -2p = 0 -24 + 1p = -11 + 0 -24 + 1p = -11 Add '24' to each side of the equation. -24 + 24 + 1p = -11 + 24 Combine like terms: -24 + 24 = 0 0 + 1p = -11 + 24 1p = -11 + 24 Combine like terms: -11 + 24 = 13 1p = 13 Divide each side by '1'. p = 13 Simplifying p = 13
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