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Simplifying 3(p + -5) = 2(p + 1) Reorder the terms: 3(-5 + p) = 2(p + 1) (-5 * 3 + p * 3) = 2(p + 1) (-15 + 3p) = 2(p + 1) Reorder the terms: -15 + 3p = 2(1 + p) -15 + 3p = (1 * 2 + p * 2) -15 + 3p = (2 + 2p) Solving -15 + 3p = 2 + 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. -15 + 3p + -2p = 2 + 2p + -2p Combine like terms: 3p + -2p = 1p -15 + 1p = 2 + 2p + -2p Combine like terms: 2p + -2p = 0 -15 + 1p = 2 + 0 -15 + 1p = 2 Add '15' to each side of the equation. -15 + 15 + 1p = 2 + 15 Combine like terms: -15 + 15 = 0 0 + 1p = 2 + 15 1p = 2 + 15 Combine like terms: 2 + 15 = 17 1p = 17 Divide each side by '1'. p = 17 Simplifying p = 17
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