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Simplifying -9p + -3(3 + -5p) = 2(p + -6) + -9 -9p + (3 * -3 + -5p * -3) = 2(p + -6) + -9 -9p + (-9 + 15p) = 2(p + -6) + -9 Reorder the terms: -9 + -9p + 15p = 2(p + -6) + -9 Combine like terms: -9p + 15p = 6p -9 + 6p = 2(p + -6) + -9 Reorder the terms: -9 + 6p = 2(-6 + p) + -9 -9 + 6p = (-6 * 2 + p * 2) + -9 -9 + 6p = (-12 + 2p) + -9 Reorder the terms: -9 + 6p = -12 + -9 + 2p Combine like terms: -12 + -9 = -21 -9 + 6p = -21 + 2p Solving -9 + 6p = -21 + 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. -9 + 6p + -2p = -21 + 2p + -2p Combine like terms: 6p + -2p = 4p -9 + 4p = -21 + 2p + -2p Combine like terms: 2p + -2p = 0 -9 + 4p = -21 + 0 -9 + 4p = -21 Add '9' to each side of the equation. -9 + 9 + 4p = -21 + 9 Combine like terms: -9 + 9 = 0 0 + 4p = -21 + 9 4p = -21 + 9 Combine like terms: -21 + 9 = -12 4p = -12 Divide each side by '4'. p = -3 Simplifying p = -3
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