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Simplifying 0.33(6p + 9) + -1(p + 5) = 0 Reorder the terms: 0.33(9 + 6p) + -1(p + 5) = 0 (9 * 0.33 + 6p * 0.33) + -1(p + 5) = 0 (2.97 + 1.98p) + -1(p + 5) = 0 Reorder the terms: 2.97 + 1.98p + -1(5 + p) = 0 2.97 + 1.98p + (5 * -1 + p * -1) = 0 2.97 + 1.98p + (-5 + -1p) = 0 Reorder the terms: 2.97 + -5 + 1.98p + -1p = 0 Combine like terms: 2.97 + -5 = -2.03 -2.03 + 1.98p + -1p = 0 Combine like terms: 1.98p + -1p = 0.98p -2.03 + 0.98p = 0 Solving -2.03 + 0.98p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2.03' to each side of the equation. -2.03 + 2.03 + 0.98p = 0 + 2.03 Combine like terms: -2.03 + 2.03 = 0.00 0.00 + 0.98p = 0 + 2.03 0.98p = 0 + 2.03 Combine like terms: 0 + 2.03 = 2.03 0.98p = 2.03 Divide each side by '0.98'. p = 2.071428571 Simplifying p = 2.071428571
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