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Simplifying -5(2p + 3) + -35 = 2(5p + 5) Reorder the terms: -5(3 + 2p) + -35 = 2(5p + 5) (3 * -5 + 2p * -5) + -35 = 2(5p + 5) (-15 + -10p) + -35 = 2(5p + 5) Reorder the terms: -15 + -35 + -10p = 2(5p + 5) Combine like terms: -15 + -35 = -50 -50 + -10p = 2(5p + 5) Reorder the terms: -50 + -10p = 2(5 + 5p) -50 + -10p = (5 * 2 + 5p * 2) -50 + -10p = (10 + 10p) Solving -50 + -10p = 10 + 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. -50 + -10p + -10p = 10 + 10p + -10p Combine like terms: -10p + -10p = -20p -50 + -20p = 10 + 10p + -10p Combine like terms: 10p + -10p = 0 -50 + -20p = 10 + 0 -50 + -20p = 10 Add '50' to each side of the equation. -50 + 50 + -20p = 10 + 50 Combine like terms: -50 + 50 = 0 0 + -20p = 10 + 50 -20p = 10 + 50 Combine like terms: 10 + 50 = 60 -20p = 60 Divide each side by '-20'. p = -3 Simplifying p = -3
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