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Simplifying 3(p + -5) = 3p + -2(p + 1) Reorder the terms: 3(-5 + p) = 3p + -2(p + 1) (-5 * 3 + p * 3) = 3p + -2(p + 1) (-15 + 3p) = 3p + -2(p + 1) Reorder the terms: -15 + 3p = 3p + -2(1 + p) -15 + 3p = 3p + (1 * -2 + p * -2) -15 + 3p = 3p + (-2 + -2p) Reorder the terms: -15 + 3p = -2 + 3p + -2p Combine like terms: 3p + -2p = 1p -15 + 3p = -2 + 1p Solving -15 + 3p = -2 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -15 + 3p + -1p = -2 + 1p + -1p Combine like terms: 3p + -1p = 2p -15 + 2p = -2 + 1p + -1p Combine like terms: 1p + -1p = 0 -15 + 2p = -2 + 0 -15 + 2p = -2 Add '15' to each side of the equation. -15 + 15 + 2p = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -2 + 15 2p = -2 + 15 Combine like terms: -2 + 15 = 13 2p = 13 Divide each side by '2'. p = 6.5 Simplifying p = 6.5
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