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Simplifying -5(p + 2) = 2(2p + -15) Reorder the terms: -5(2 + p) = 2(2p + -15) (2 * -5 + p * -5) = 2(2p + -15) (-10 + -5p) = 2(2p + -15) Reorder the terms: -10 + -5p = 2(-15 + 2p) -10 + -5p = (-15 * 2 + 2p * 2) -10 + -5p = (-30 + 4p) Solving -10 + -5p = -30 + 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. -10 + -5p + -4p = -30 + 4p + -4p Combine like terms: -5p + -4p = -9p -10 + -9p = -30 + 4p + -4p Combine like terms: 4p + -4p = 0 -10 + -9p = -30 + 0 -10 + -9p = -30 Add '10' to each side of the equation. -10 + 10 + -9p = -30 + 10 Combine like terms: -10 + 10 = 0 0 + -9p = -30 + 10 -9p = -30 + 10 Combine like terms: -30 + 10 = -20 -9p = -20 Divide each side by '-9'. p = 2.222222222 Simplifying p = 2.222222222
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