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Simplifying 2(4p + 6) + -4(p + 1) = 0 Reorder the terms: 2(6 + 4p) + -4(p + 1) = 0 (6 * 2 + 4p * 2) + -4(p + 1) = 0 (12 + 8p) + -4(p + 1) = 0 Reorder the terms: 12 + 8p + -4(1 + p) = 0 12 + 8p + (1 * -4 + p * -4) = 0 12 + 8p + (-4 + -4p) = 0 Reorder the terms: 12 + -4 + 8p + -4p = 0 Combine like terms: 12 + -4 = 8 8 + 8p + -4p = 0 Combine like terms: 8p + -4p = 4p 8 + 4p = 0 Solving 8 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 4p = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 4p = 0 + -8 4p = 0 + -8 Combine like terms: 0 + -8 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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