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Simplifying -3p + 8 = -7 + -3(-2p + -8) Reorder the terms: 8 + -3p = -7 + -3(-2p + -8) Reorder the terms: 8 + -3p = -7 + -3(-8 + -2p) 8 + -3p = -7 + (-8 * -3 + -2p * -3) 8 + -3p = -7 + (24 + 6p) Combine like terms: -7 + 24 = 17 8 + -3p = 17 + 6p Solving 8 + -3p = 17 + 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. 8 + -3p + -6p = 17 + 6p + -6p Combine like terms: -3p + -6p = -9p 8 + -9p = 17 + 6p + -6p Combine like terms: 6p + -6p = 0 8 + -9p = 17 + 0 8 + -9p = 17 Add '-8' to each side of the equation. 8 + -8 + -9p = 17 + -8 Combine like terms: 8 + -8 = 0 0 + -9p = 17 + -8 -9p = 17 + -8 Combine like terms: 17 + -8 = 9 -9p = 9 Divide each side by '-9'. p = -1 Simplifying p = -1
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