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Simplifying 5(4 + -1p) = 3(p + 4) (4 * 5 + -1p * 5) = 3(p + 4) (20 + -5p) = 3(p + 4) Reorder the terms: 20 + -5p = 3(4 + p) 20 + -5p = (4 * 3 + p * 3) 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 = -8p 20 + -8p = 12 + 3p + -3p Combine like terms: 3p + -3p = 0 20 + -8p = 12 + 0 20 + -8p = 12 Add '-20' to each side of the equation. 20 + -20 + -8p = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -8p = 12 + -20 -8p = 12 + -20 Combine like terms: 12 + -20 = -8 -8p = -8 Divide each side by '-8'. p = 1 Simplifying p = 1
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