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Simplifying -9p + -5(5 + -3p) = 2(p + -6) + -13 -9p + (5 * -5 + -3p * -5) = 2(p + -6) + -13 -9p + (-25 + 15p) = 2(p + -6) + -13 Reorder the terms: -25 + -9p + 15p = 2(p + -6) + -13 Combine like terms: -9p + 15p = 6p -25 + 6p = 2(p + -6) + -13 Reorder the terms: -25 + 6p = 2(-6 + p) + -13 -25 + 6p = (-6 * 2 + p * 2) + -13 -25 + 6p = (-12 + 2p) + -13 Reorder the terms: -25 + 6p = -12 + -13 + 2p Combine like terms: -12 + -13 = -25 -25 + 6p = -25 + 2p Add '25' to each side of the equation. -25 + 25 + 6p = -25 + 25 + 2p Combine like terms: -25 + 25 = 0 0 + 6p = -25 + 25 + 2p 6p = -25 + 25 + 2p Combine like terms: -25 + 25 = 0 6p = 0 + 2p 6p = 2p Solving 6p = 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. 6p + -2p = 2p + -2p Combine like terms: 6p + -2p = 4p 4p = 2p + -2p Combine like terms: 2p + -2p = 0 4p = 0 Divide each side by '4'. p = 0 Simplifying p = 0
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