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Simplifying 39 + -5p = 1 + -8(p + -7) Reorder the terms: 39 + -5p = 1 + -8(-7 + p) 39 + -5p = 1 + (-7 * -8 + p * -8) 39 + -5p = 1 + (56 + -8p) Combine like terms: 1 + 56 = 57 39 + -5p = 57 + -8p Solving 39 + -5p = 57 + -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. 39 + -5p + 8p = 57 + -8p + 8p Combine like terms: -5p + 8p = 3p 39 + 3p = 57 + -8p + 8p Combine like terms: -8p + 8p = 0 39 + 3p = 57 + 0 39 + 3p = 57 Add '-39' to each side of the equation. 39 + -39 + 3p = 57 + -39 Combine like terms: 39 + -39 = 0 0 + 3p = 57 + -39 3p = 57 + -39 Combine like terms: 57 + -39 = 18 3p = 18 Divide each side by '3'. p = 6 Simplifying p = 6
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