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Simplifying 2(4p + 7) + -3(p + 3) = 0 Reorder the terms: 2(7 + 4p) + -3(p + 3) = 0 (7 * 2 + 4p * 2) + -3(p + 3) = 0 (14 + 8p) + -3(p + 3) = 0 Reorder the terms: 14 + 8p + -3(3 + p) = 0 14 + 8p + (3 * -3 + p * -3) = 0 14 + 8p + (-9 + -3p) = 0 Reorder the terms: 14 + -9 + 8p + -3p = 0 Combine like terms: 14 + -9 = 5 5 + 8p + -3p = 0 Combine like terms: 8p + -3p = 5p 5 + 5p = 0 Solving 5 + 5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 5p = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5p = 0 + -5 5p = 0 + -5 Combine like terms: 0 + -5 = -5 5p = -5 Divide each side by '5'. p = -1 Simplifying p = -1
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