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Simplifying 5(4 + p) = 3(p + -1) + -9 (4 * 5 + p * 5) = 3(p + -1) + -9 (20 + 5p) = 3(p + -1) + -9 Reorder the terms: 20 + 5p = 3(-1 + p) + -9 20 + 5p = (-1 * 3 + p * 3) + -9 20 + 5p = (-3 + 3p) + -9 Reorder the terms: 20 + 5p = -3 + -9 + 3p Combine like terms: -3 + -9 = -12 20 + 5p = -12 + 3p Solving 20 + 5p = -12 + 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. 20 + 5p + -3p = -12 + 3p + -3p Combine like terms: 5p + -3p = 2p 20 + 2p = -12 + 3p + -3p Combine like terms: 3p + -3p = 0 20 + 2p = -12 + 0 20 + 2p = -12 Add '-20' to each side of the equation. 20 + -20 + 2p = -12 + -20 Combine like terms: 20 + -20 = 0 0 + 2p = -12 + -20 2p = -12 + -20 Combine like terms: -12 + -20 = -32 2p = -32 Divide each side by '2'. p = -16 Simplifying p = -16
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