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