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Simplifying -3p + -5(3 + -2p) = 5(p + -5) + -16 -3p + (3 * -5 + -2p * -5) = 5(p + -5) + -16 -3p + (-15 + 10p) = 5(p + -5) + -16 Reorder the terms: -15 + -3p + 10p = 5(p + -5) + -16 Combine like terms: -3p + 10p = 7p -15 + 7p = 5(p + -5) + -16 Reorder the terms: -15 + 7p = 5(-5 + p) + -16 -15 + 7p = (-5 * 5 + p * 5) + -16 -15 + 7p = (-25 + 5p) + -16 Reorder the terms: -15 + 7p = -25 + -16 + 5p Combine like terms: -25 + -16 = -41 -15 + 7p = -41 + 5p Solving -15 + 7p = -41 + 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 = -41 + 5p + -5p Combine like terms: 7p + -5p = 2p -15 + 2p = -41 + 5p + -5p Combine like terms: 5p + -5p = 0 -15 + 2p = -41 + 0 -15 + 2p = -41 Add '15' to each side of the equation. -15 + 15 + 2p = -41 + 15 Combine like terms: -15 + 15 = 0 0 + 2p = -41 + 15 2p = -41 + 15 Combine like terms: -41 + 15 = -26 2p = -26 Divide each side by '2'. p = -13 Simplifying p = -13
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