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Simplifying -5(3p + 2) + -16 = 2(2p + 6) Reorder the terms: -5(2 + 3p) + -16 = 2(2p + 6) (2 * -5 + 3p * -5) + -16 = 2(2p + 6) (-10 + -15p) + -16 = 2(2p + 6) Reorder the terms: -10 + -16 + -15p = 2(2p + 6) Combine like terms: -10 + -16 = -26 -26 + -15p = 2(2p + 6) Reorder the terms: -26 + -15p = 2(6 + 2p) -26 + -15p = (6 * 2 + 2p * 2) -26 + -15p = (12 + 4p) Solving -26 + -15p = 12 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -26 + -15p + -4p = 12 + 4p + -4p Combine like terms: -15p + -4p = -19p -26 + -19p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -26 + -19p = 12 + 0 -26 + -19p = 12 Add '26' to each side of the equation. -26 + 26 + -19p = 12 + 26 Combine like terms: -26 + 26 = 0 0 + -19p = 12 + 26 -19p = 12 + 26 Combine like terms: 12 + 26 = 38 -19p = 38 Divide each side by '-19'. p = -2 Simplifying p = -2
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