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Simplifying -7p + -5(5 + -3p) = 6(p + -4) + -9 -7p + (5 * -5 + -3p * -5) = 6(p + -4) + -9 -7p + (-25 + 15p) = 6(p + -4) + -9 Reorder the terms: -25 + -7p + 15p = 6(p + -4) + -9 Combine like terms: -7p + 15p = 8p -25 + 8p = 6(p + -4) + -9 Reorder the terms: -25 + 8p = 6(-4 + p) + -9 -25 + 8p = (-4 * 6 + p * 6) + -9 -25 + 8p = (-24 + 6p) + -9 Reorder the terms: -25 + 8p = -24 + -9 + 6p Combine like terms: -24 + -9 = -33 -25 + 8p = -33 + 6p Solving -25 + 8p = -33 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -25 + 8p + -6p = -33 + 6p + -6p Combine like terms: 8p + -6p = 2p -25 + 2p = -33 + 6p + -6p Combine like terms: 6p + -6p = 0 -25 + 2p = -33 + 0 -25 + 2p = -33 Add '25' to each side of the equation. -25 + 25 + 2p = -33 + 25 Combine like terms: -25 + 25 = 0 0 + 2p = -33 + 25 2p = -33 + 25 Combine like terms: -33 + 25 = -8 2p = -8 Divide each side by '2'. p = -4 Simplifying p = -4
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