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Simplifying 2(p + 10) = 5p + 50 Reorder the terms: 2(10 + p) = 5p + 50 (10 * 2 + p * 2) = 5p + 50 (20 + 2p) = 5p + 50 Reorder the terms: 20 + 2p = 50 + 5p Solving 20 + 2p = 50 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. 20 + 2p + -5p = 50 + 5p + -5p Combine like terms: 2p + -5p = -3p 20 + -3p = 50 + 5p + -5p Combine like terms: 5p + -5p = 0 20 + -3p = 50 + 0 20 + -3p = 50 Add '-20' to each side of the equation. 20 + -20 + -3p = 50 + -20 Combine like terms: 20 + -20 = 0 0 + -3p = 50 + -20 -3p = 50 + -20 Combine like terms: 50 + -20 = 30 -3p = 30 Divide each side by '-3'. p = -10 Simplifying p = -10
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