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Simplifying -1(p + 1) + 5(p + 8) = 47 Reorder the terms: -1(1 + p) + 5(p + 8) = 47 (1 * -1 + p * -1) + 5(p + 8) = 47 (-1 + -1p) + 5(p + 8) = 47 Reorder the terms: -1 + -1p + 5(8 + p) = 47 -1 + -1p + (8 * 5 + p * 5) = 47 -1 + -1p + (40 + 5p) = 47 Reorder the terms: -1 + 40 + -1p + 5p = 47 Combine like terms: -1 + 40 = 39 39 + -1p + 5p = 47 Combine like terms: -1p + 5p = 4p 39 + 4p = 47 Solving 39 + 4p = 47 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 4p = 47 + -39 Combine like terms: 39 + -39 = 0 0 + 4p = 47 + -39 4p = 47 + -39 Combine like terms: 47 + -39 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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