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Simplifying 4(2p + -1) = 5(p + 4) Reorder the terms: 4(-1 + 2p) = 5(p + 4) (-1 * 4 + 2p * 4) = 5(p + 4) (-4 + 8p) = 5(p + 4) Reorder the terms: -4 + 8p = 5(4 + p) -4 + 8p = (4 * 5 + p * 5) -4 + 8p = (20 + 5p) Solving -4 + 8p = 20 + 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. -4 + 8p + -5p = 20 + 5p + -5p Combine like terms: 8p + -5p = 3p -4 + 3p = 20 + 5p + -5p Combine like terms: 5p + -5p = 0 -4 + 3p = 20 + 0 -4 + 3p = 20 Add '4' to each side of the equation. -4 + 4 + 3p = 20 + 4 Combine like terms: -4 + 4 = 0 0 + 3p = 20 + 4 3p = 20 + 4 Combine like terms: 20 + 4 = 24 3p = 24 Divide each side by '3'. p = 8 Simplifying p = 8
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