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Simplifying -1 + 5p = -7 + -8(-3 + -1p) -1 + 5p = -7 + (-3 * -8 + -1p * -8) -1 + 5p = -7 + (24 + 8p) Combine like terms: -7 + 24 = 17 -1 + 5p = 17 + 8p Solving -1 + 5p = 17 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -1 + 5p + -8p = 17 + 8p + -8p Combine like terms: 5p + -8p = -3p -1 + -3p = 17 + 8p + -8p Combine like terms: 8p + -8p = 0 -1 + -3p = 17 + 0 -1 + -3p = 17 Add '1' to each side of the equation. -1 + 1 + -3p = 17 + 1 Combine like terms: -1 + 1 = 0 0 + -3p = 17 + 1 -3p = 17 + 1 Combine like terms: 17 + 1 = 18 -3p = 18 Divide each side by '-3'. p = -6 Simplifying p = -6
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