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Simplifying -7p + -5(5 + -3p) = 6(p + -6) + -17 -7p + (5 * -5 + -3p * -5) = 6(p + -6) + -17 -7p + (-25 + 15p) = 6(p + -6) + -17 Reorder the terms: -25 + -7p + 15p = 6(p + -6) + -17 Combine like terms: -7p + 15p = 8p -25 + 8p = 6(p + -6) + -17 Reorder the terms: -25 + 8p = 6(-6 + p) + -17 -25 + 8p = (-6 * 6 + p * 6) + -17 -25 + 8p = (-36 + 6p) + -17 Reorder the terms: -25 + 8p = -36 + -17 + 6p Combine like terms: -36 + -17 = -53 -25 + 8p = -53 + 6p Solving -25 + 8p = -53 + 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 = -53 + 6p + -6p Combine like terms: 8p + -6p = 2p -25 + 2p = -53 + 6p + -6p Combine like terms: 6p + -6p = 0 -25 + 2p = -53 + 0 -25 + 2p = -53 Add '25' to each side of the equation. -25 + 25 + 2p = -53 + 25 Combine like terms: -25 + 25 = 0 0 + 2p = -53 + 25 2p = -53 + 25 Combine like terms: -53 + 25 = -28 2p = -28 Divide each side by '2'. p = -14 Simplifying p = -14
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