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Simplifying 2(5p + 9) + -4(p + 8) = 0 Reorder the terms: 2(9 + 5p) + -4(p + 8) = 0 (9 * 2 + 5p * 2) + -4(p + 8) = 0 (18 + 10p) + -4(p + 8) = 0 Reorder the terms: 18 + 10p + -4(8 + p) = 0 18 + 10p + (8 * -4 + p * -4) = 0 18 + 10p + (-32 + -4p) = 0 Reorder the terms: 18 + -32 + 10p + -4p = 0 Combine like terms: 18 + -32 = -14 -14 + 10p + -4p = 0 Combine like terms: 10p + -4p = 6p -14 + 6p = 0 Solving -14 + 6p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 6p = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6p = 0 + 14 6p = 0 + 14 Combine like terms: 0 + 14 = 14 6p = 14 Divide each side by '6'. p = 2.333333333 Simplifying p = 2.333333333
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