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Simplifying 20 + -8p = 2(p + 3) + -3p Reorder the terms: 20 + -8p = 2(3 + p) + -3p 20 + -8p = (3 * 2 + p * 2) + -3p 20 + -8p = (6 + 2p) + -3p Combine like terms: 2p + -3p = -1p 20 + -8p = 6 + -1p Solving 20 + -8p = 6 + -1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add 'p' to each side of the equation. 20 + -8p + p = 6 + -1p + p Combine like terms: -8p + p = -7p 20 + -7p = 6 + -1p + p Combine like terms: -1p + p = 0 20 + -7p = 6 + 0 20 + -7p = 6 Add '-20' to each side of the equation. 20 + -20 + -7p = 6 + -20 Combine like terms: 20 + -20 = 0 0 + -7p = 6 + -20 -7p = 6 + -20 Combine like terms: 6 + -20 = -14 -7p = -14 Divide each side by '-7'. p = 2 Simplifying p = 2
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