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Simplifying 2(4p + 3) + -3(3p + -6) + -16p = 0 Reorder the terms: 2(3 + 4p) + -3(3p + -6) + -16p = 0 (3 * 2 + 4p * 2) + -3(3p + -6) + -16p = 0 (6 + 8p) + -3(3p + -6) + -16p = 0 Reorder the terms: 6 + 8p + -3(-6 + 3p) + -16p = 0 6 + 8p + (-6 * -3 + 3p * -3) + -16p = 0 6 + 8p + (18 + -9p) + -16p = 0 Reorder the terms: 6 + 18 + 8p + -9p + -16p = 0 Combine like terms: 6 + 18 = 24 24 + 8p + -9p + -16p = 0 Combine like terms: 8p + -9p = -1p 24 + -1p + -16p = 0 Combine like terms: -1p + -16p = -17p 24 + -17p = 0 Solving 24 + -17p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + -17p = 0 + -24 Combine like terms: 24 + -24 = 0 0 + -17p = 0 + -24 -17p = 0 + -24 Combine like terms: 0 + -24 = -24 -17p = -24 Divide each side by '-17'. p = 1.411764706 Simplifying p = 1.411764706
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