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Simplifying -5(2p + 4) + -24 = 3(5p + 2) Reorder the terms: -5(4 + 2p) + -24 = 3(5p + 2) (4 * -5 + 2p * -5) + -24 = 3(5p + 2) (-20 + -10p) + -24 = 3(5p + 2) Reorder the terms: -20 + -24 + -10p = 3(5p + 2) Combine like terms: -20 + -24 = -44 -44 + -10p = 3(5p + 2) Reorder the terms: -44 + -10p = 3(2 + 5p) -44 + -10p = (2 * 3 + 5p * 3) -44 + -10p = (6 + 15p) Solving -44 + -10p = 6 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -44 + -10p + -15p = 6 + 15p + -15p Combine like terms: -10p + -15p = -25p -44 + -25p = 6 + 15p + -15p Combine like terms: 15p + -15p = 0 -44 + -25p = 6 + 0 -44 + -25p = 6 Add '44' to each side of the equation. -44 + 44 + -25p = 6 + 44 Combine like terms: -44 + 44 = 0 0 + -25p = 6 + 44 -25p = 6 + 44 Combine like terms: 6 + 44 = 50 -25p = 50 Divide each side by '-25'. p = -2 Simplifying p = -2
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