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Simplifying 2(4p + 2) + -4p = 3(p + 5) Reorder the terms: 2(2 + 4p) + -4p = 3(p + 5) (2 * 2 + 4p * 2) + -4p = 3(p + 5) (4 + 8p) + -4p = 3(p + 5) Combine like terms: 8p + -4p = 4p 4 + 4p = 3(p + 5) Reorder the terms: 4 + 4p = 3(5 + p) 4 + 4p = (5 * 3 + p * 3) 4 + 4p = (15 + 3p) Solving 4 + 4p = 15 + 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. 4 + 4p + -3p = 15 + 3p + -3p Combine like terms: 4p + -3p = 1p 4 + 1p = 15 + 3p + -3p Combine like terms: 3p + -3p = 0 4 + 1p = 15 + 0 4 + 1p = 15 Add '-4' to each side of the equation. 4 + -4 + 1p = 15 + -4 Combine like terms: 4 + -4 = 0 0 + 1p = 15 + -4 1p = 15 + -4 Combine like terms: 15 + -4 = 11 1p = 11 Divide each side by '1'. p = 11 Simplifying p = 11
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