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Simplifying -5(4p + 4) + -24 = 2(5p + 8) Reorder the terms: -5(4 + 4p) + -24 = 2(5p + 8) (4 * -5 + 4p * -5) + -24 = 2(5p + 8) (-20 + -20p) + -24 = 2(5p + 8) Reorder the terms: -20 + -24 + -20p = 2(5p + 8) Combine like terms: -20 + -24 = -44 -44 + -20p = 2(5p + 8) Reorder the terms: -44 + -20p = 2(8 + 5p) -44 + -20p = (8 * 2 + 5p * 2) -44 + -20p = (16 + 10p) Solving -44 + -20p = 16 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -44 + -20p + -10p = 16 + 10p + -10p Combine like terms: -20p + -10p = -30p -44 + -30p = 16 + 10p + -10p Combine like terms: 10p + -10p = 0 -44 + -30p = 16 + 0 -44 + -30p = 16 Add '44' to each side of the equation. -44 + 44 + -30p = 16 + 44 Combine like terms: -44 + 44 = 0 0 + -30p = 16 + 44 -30p = 16 + 44 Combine like terms: 16 + 44 = 60 -30p = 60 Divide each side by '-30'. p = -2 Simplifying p = -2
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