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Simplifying 2(4p + 7) + -4(p + 6) = 0 Reorder the terms: 2(7 + 4p) + -4(p + 6) = 0 (7 * 2 + 4p * 2) + -4(p + 6) = 0 (14 + 8p) + -4(p + 6) = 0 Reorder the terms: 14 + 8p + -4(6 + p) = 0 14 + 8p + (6 * -4 + p * -4) = 0 14 + 8p + (-24 + -4p) = 0 Reorder the terms: 14 + -24 + 8p + -4p = 0 Combine like terms: 14 + -24 = -10 -10 + 8p + -4p = 0 Combine like terms: 8p + -4p = 4p -10 + 4p = 0 Solving -10 + 4p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 4p = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4p = 0 + 10 4p = 0 + 10 Combine like terms: 0 + 10 = 10 4p = 10 Divide each side by '4'. p = 2.5 Simplifying p = 2.5
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