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Simplifying 7(p + 3) + 9 = 5(p + -2) Reorder the terms: 7(3 + p) + 9 = 5(p + -2) (3 * 7 + p * 7) + 9 = 5(p + -2) (21 + 7p) + 9 = 5(p + -2) Reorder the terms: 21 + 9 + 7p = 5(p + -2) Combine like terms: 21 + 9 = 30 30 + 7p = 5(p + -2) Reorder the terms: 30 + 7p = 5(-2 + p) 30 + 7p = (-2 * 5 + p * 5) 30 + 7p = (-10 + 5p) Solving 30 + 7p = -10 + 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. 30 + 7p + -5p = -10 + 5p + -5p Combine like terms: 7p + -5p = 2p 30 + 2p = -10 + 5p + -5p Combine like terms: 5p + -5p = 0 30 + 2p = -10 + 0 30 + 2p = -10 Add '-30' to each side of the equation. 30 + -30 + 2p = -10 + -30 Combine like terms: 30 + -30 = 0 0 + 2p = -10 + -30 2p = -10 + -30 Combine like terms: -10 + -30 = -40 2p = -40 Divide each side by '2'. p = -20 Simplifying p = -20
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