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Simplifying -5(5p + 2) + -40 = 4(2p + 4) Reorder the terms: -5(2 + 5p) + -40 = 4(2p + 4) (2 * -5 + 5p * -5) + -40 = 4(2p + 4) (-10 + -25p) + -40 = 4(2p + 4) Reorder the terms: -10 + -40 + -25p = 4(2p + 4) Combine like terms: -10 + -40 = -50 -50 + -25p = 4(2p + 4) Reorder the terms: -50 + -25p = 4(4 + 2p) -50 + -25p = (4 * 4 + 2p * 4) -50 + -25p = (16 + 8p) Solving -50 + -25p = 16 + 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. -50 + -25p + -8p = 16 + 8p + -8p Combine like terms: -25p + -8p = -33p -50 + -33p = 16 + 8p + -8p Combine like terms: 8p + -8p = 0 -50 + -33p = 16 + 0 -50 + -33p = 16 Add '50' to each side of the equation. -50 + 50 + -33p = 16 + 50 Combine like terms: -50 + 50 = 0 0 + -33p = 16 + 50 -33p = 16 + 50 Combine like terms: 16 + 50 = 66 -33p = 66 Divide each side by '-33'. p = -2 Simplifying p = -2
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