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Simplifying 7 = 2(4p + 2) + 3(1 + 4p) Reorder the terms: 7 = 2(2 + 4p) + 3(1 + 4p) 7 = (2 * 2 + 4p * 2) + 3(1 + 4p) 7 = (4 + 8p) + 3(1 + 4p) 7 = 4 + 8p + (1 * 3 + 4p * 3) 7 = 4 + 8p + (3 + 12p) Reorder the terms: 7 = 4 + 3 + 8p + 12p Combine like terms: 4 + 3 = 7 7 = 7 + 8p + 12p Combine like terms: 8p + 12p = 20p 7 = 7 + 20p Add '-7' to each side of the equation. 7 + -7 = 7 + -7 + 20p Combine like terms: 7 + -7 = 0 0 = 7 + -7 + 20p Combine like terms: 7 + -7 = 0 0 = 0 + 20p 0 = 20p Solving 0 = 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. 0 + -20p = 20p + -20p Remove the zero: -20p = 20p + -20p Combine like terms: 20p + -20p = 0 -20p = 0 Divide each side by '-20'. p = 0 Simplifying p = 0
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