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Simplifying -28 = -1(1 + -8p) + -3(p + -1) -28 = (1 * -1 + -8p * -1) + -3(p + -1) -28 = (-1 + 8p) + -3(p + -1) Reorder the terms: -28 = -1 + 8p + -3(-1 + p) -28 = -1 + 8p + (-1 * -3 + p * -3) -28 = -1 + 8p + (3 + -3p) Reorder the terms: -28 = -1 + 3 + 8p + -3p Combine like terms: -1 + 3 = 2 -28 = 2 + 8p + -3p Combine like terms: 8p + -3p = 5p -28 = 2 + 5p Solving -28 = 2 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -28 + -5p = 2 + 5p + -5p Combine like terms: 5p + -5p = 0 -28 + -5p = 2 + 0 -28 + -5p = 2 Add '28' to each side of the equation. -28 + 28 + -5p = 2 + 28 Combine like terms: -28 + 28 = 0 0 + -5p = 2 + 28 -5p = 2 + 28 Combine like terms: 2 + 28 = 30 -5p = 30 Divide each side by '-5'. p = -6 Simplifying p = -6
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