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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 = 16 -3p = 16 Divide each side by '-3'. p = -5.333333333 Simplifying p = -5.333333333
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