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Simplifying 6(7 + -2p) + 2 = 5(6 + -4p) + 46 (7 * 6 + -2p * 6) + 2 = 5(6 + -4p) + 46 (42 + -12p) + 2 = 5(6 + -4p) + 46 Reorder the terms: 42 + 2 + -12p = 5(6 + -4p) + 46 Combine like terms: 42 + 2 = 44 44 + -12p = 5(6 + -4p) + 46 44 + -12p = (6 * 5 + -4p * 5) + 46 44 + -12p = (30 + -20p) + 46 Reorder the terms: 44 + -12p = 30 + 46 + -20p Combine like terms: 30 + 46 = 76 44 + -12p = 76 + -20p Solving 44 + -12p = 76 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. 44 + -12p + 20p = 76 + -20p + 20p Combine like terms: -12p + 20p = 8p 44 + 8p = 76 + -20p + 20p Combine like terms: -20p + 20p = 0 44 + 8p = 76 + 0 44 + 8p = 76 Add '-44' to each side of the equation. 44 + -44 + 8p = 76 + -44 Combine like terms: 44 + -44 = 0 0 + 8p = 76 + -44 8p = 76 + -44 Combine like terms: 76 + -44 = 32 8p = 32 Divide each side by '8'. p = 4 Simplifying p = 4
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