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Simplifying 2(4p + 8) + -4(p + 7) = 0 Reorder the terms: 2(8 + 4p) + -4(p + 7) = 0 (8 * 2 + 4p * 2) + -4(p + 7) = 0 (16 + 8p) + -4(p + 7) = 0 Reorder the terms: 16 + 8p + -4(7 + p) = 0 16 + 8p + (7 * -4 + p * -4) = 0 16 + 8p + (-28 + -4p) = 0 Reorder the terms: 16 + -28 + 8p + -4p = 0 Combine like terms: 16 + -28 = -12 -12 + 8p + -4p = 0 Combine like terms: 8p + -4p = 4p -12 + 4p = 0 Solving -12 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 4p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 4p = 0 + 12 4p = 0 + 12 Combine like terms: 0 + 12 = 12 4p = 12 Divide each side by '4'. p = 3 Simplifying p = 3
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