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Simplifying -5p + -2(5 + -6p) = 5(p + -3) + -9 -5p + (5 * -2 + -6p * -2) = 5(p + -3) + -9 -5p + (-10 + 12p) = 5(p + -3) + -9 Reorder the terms: -10 + -5p + 12p = 5(p + -3) + -9 Combine like terms: -5p + 12p = 7p -10 + 7p = 5(p + -3) + -9 Reorder the terms: -10 + 7p = 5(-3 + p) + -9 -10 + 7p = (-3 * 5 + p * 5) + -9 -10 + 7p = (-15 + 5p) + -9 Reorder the terms: -10 + 7p = -15 + -9 + 5p Combine like terms: -15 + -9 = -24 -10 + 7p = -24 + 5p Solving -10 + 7p = -24 + 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. -10 + 7p + -5p = -24 + 5p + -5p Combine like terms: 7p + -5p = 2p -10 + 2p = -24 + 5p + -5p Combine like terms: 5p + -5p = 0 -10 + 2p = -24 + 0 -10 + 2p = -24 Add '10' to each side of the equation. -10 + 10 + 2p = -24 + 10 Combine like terms: -10 + 10 = 0 0 + 2p = -24 + 10 2p = -24 + 10 Combine like terms: -24 + 10 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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