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Simplifying -3p + -5(3 + -2p) = 5(p + -2) + -13 -3p + (3 * -5 + -2p * -5) = 5(p + -2) + -13 -3p + (-15 + 10p) = 5(p + -2) + -13 Reorder the terms: -15 + -3p + 10p = 5(p + -2) + -13 Combine like terms: -3p + 10p = 7p -15 + 7p = 5(p + -2) + -13 Reorder the terms: -15 + 7p = 5(-2 + p) + -13 -15 + 7p = (-2 * 5 + p * 5) + -13 -15 + 7p = (-10 + 5p) + -13 Reorder the terms: -15 + 7p = -10 + -13 + 5p Combine like terms: -10 + -13 = -23 -15 + 7p = -23 + 5p Solving -15 + 7p = -23 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -15 + 7p + -5p = -23 + 5p + -5p Combine like terms: 7p + -5p = 2p -15 + 2p = -23 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + 2p = -23 + 0 -15 + 2p = -23 Add '15' to each side of the equation. -15 + 15 + 2p = -23 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -23 + 15 2p = -23 + 15 Combine like terms: -23 + 15 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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