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Simplifying -9p + -5(2 + -3p) = 2(p + -6) + -10 -9p + (2 * -5 + -3p * -5) = 2(p + -6) + -10 -9p + (-10 + 15p) = 2(p + -6) + -10 Reorder the terms: -10 + -9p + 15p = 2(p + -6) + -10 Combine like terms: -9p + 15p = 6p -10 + 6p = 2(p + -6) + -10 Reorder the terms: -10 + 6p = 2(-6 + p) + -10 -10 + 6p = (-6 * 2 + p * 2) + -10 -10 + 6p = (-12 + 2p) + -10 Reorder the terms: -10 + 6p = -12 + -10 + 2p Combine like terms: -12 + -10 = -22 -10 + 6p = -22 + 2p Solving -10 + 6p = -22 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -10 + 6p + -2p = -22 + 2p + -2p Combine like terms: 6p + -2p = 4p -10 + 4p = -22 + 2p + -2p Combine like terms: 2p + -2p = 0 -10 + 4p = -22 + 0 -10 + 4p = -22 Add '10' to each side of the equation. -10 + 10 + 4p = -22 + 10 Combine like terms: -10 + 10 = 0 0 + 4p = -22 + 10 4p = -22 + 10 Combine like terms: -22 + 10 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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