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Simplifying 5(p + 3) + -1(p + -8) = 0 Reorder the terms: 5(3 + p) + -1(p + -8) = 0 (3 * 5 + p * 5) + -1(p + -8) = 0 (15 + 5p) + -1(p + -8) = 0 Reorder the terms: 15 + 5p + -1(-8 + p) = 0 15 + 5p + (-8 * -1 + p * -1) = 0 15 + 5p + (8 + -1p) = 0 Reorder the terms: 15 + 8 + 5p + -1p = 0 Combine like terms: 15 + 8 = 23 23 + 5p + -1p = 0 Combine like terms: 5p + -1p = 4p 23 + 4p = 0 Solving 23 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + 4p = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 4p = 0 + -23 4p = 0 + -23 Combine like terms: 0 + -23 = -23 4p = -23 Divide each side by '4'. p = -5.75 Simplifying p = -5.75
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