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Simplifying 49(3p + 80) = 15 + -1(10 + -3p) Reorder the terms: 49(80 + 3p) = 15 + -1(10 + -3p) (80 * 49 + 3p * 49) = 15 + -1(10 + -3p) (3920 + 147p) = 15 + -1(10 + -3p) 3920 + 147p = 15 + (10 * -1 + -3p * -1) 3920 + 147p = 15 + (-10 + 3p) Combine like terms: 15 + -10 = 5 3920 + 147p = 5 + 3p Solving 3920 + 147p = 5 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 3920 + 147p + -3p = 5 + 3p + -3p Combine like terms: 147p + -3p = 144p 3920 + 144p = 5 + 3p + -3p Combine like terms: 3p + -3p = 0 3920 + 144p = 5 + 0 3920 + 144p = 5 Add '-3920' to each side of the equation. 3920 + -3920 + 144p = 5 + -3920 Combine like terms: 3920 + -3920 = 0 0 + 144p = 5 + -3920 144p = 5 + -3920 Combine like terms: 5 + -3920 = -3915 144p = -3915 Divide each side by '144'. p = -27.1875 Simplifying p = -27.1875
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