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Simplifying 100 + -2(p + 10) = 3(p + 10) Reorder the terms: 100 + -2(10 + p) = 3(p + 10) 100 + (10 * -2 + p * -2) = 3(p + 10) 100 + (-20 + -2p) = 3(p + 10) Combine like terms: 100 + -20 = 80 80 + -2p = 3(p + 10) Reorder the terms: 80 + -2p = 3(10 + p) 80 + -2p = (10 * 3 + p * 3) 80 + -2p = (30 + 3p) Solving 80 + -2p = 30 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 80 + -2p + -3p = 30 + 3p + -3p Combine like terms: -2p + -3p = -5p 80 + -5p = 30 + 3p + -3p Combine like terms: 3p + -3p = 0 80 + -5p = 30 + 0 80 + -5p = 30 Add '-80' to each side of the equation. 80 + -80 + -5p = 30 + -80 Combine like terms: 80 + -80 = 0 0 + -5p = 30 + -80 -5p = 30 + -80 Combine like terms: 30 + -80 = -50 -5p = -50 Divide each side by '-5'. p = 10 Simplifying p = 10
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