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Simplifying 5(p + -4) = 2(5 + 4p) Reorder the terms: 5(-4 + p) = 2(5 + 4p) (-4 * 5 + p * 5) = 2(5 + 4p) (-20 + 5p) = 2(5 + 4p) -20 + 5p = (5 * 2 + 4p * 2) -20 + 5p = (10 + 8p) Solving -20 + 5p = 10 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -20 + 5p + -8p = 10 + 8p + -8p Combine like terms: 5p + -8p = -3p -20 + -3p = 10 + 8p + -8p Combine like terms: 8p + -8p = 0 -20 + -3p = 10 + 0 -20 + -3p = 10 Add '20' to each side of the equation. -20 + 20 + -3p = 10 + 20 Combine like terms: -20 + 20 = 0 0 + -3p = 10 + 20 -3p = 10 + 20 Combine like terms: 10 + 20 = 30 -3p = 30 Divide each side by '-3'. p = -10 Simplifying p = -10
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