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Simplifying 5(2p + -2) + 4(5p + 8) = -68 Reorder the terms: 5(-2 + 2p) + 4(5p + 8) = -68 (-2 * 5 + 2p * 5) + 4(5p + 8) = -68 (-10 + 10p) + 4(5p + 8) = -68 Reorder the terms: -10 + 10p + 4(8 + 5p) = -68 -10 + 10p + (8 * 4 + 5p * 4) = -68 -10 + 10p + (32 + 20p) = -68 Reorder the terms: -10 + 32 + 10p + 20p = -68 Combine like terms: -10 + 32 = 22 22 + 10p + 20p = -68 Combine like terms: 10p + 20p = 30p 22 + 30p = -68 Solving 22 + 30p = -68 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + 30p = -68 + -22 Combine like terms: 22 + -22 = 0 0 + 30p = -68 + -22 30p = -68 + -22 Combine like terms: -68 + -22 = -90 30p = -90 Divide each side by '30'. p = -3 Simplifying p = -3
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