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Simplifying 17 = 0.3[4(6 + -5p) + -7(3p + 2)] 17 = 0.3[(6 * 4 + -5p * 4) + -7(3p + 2)] 17 = 0.3[(24 + -20p) + -7(3p + 2)] Reorder the terms: 17 = 0.3[24 + -20p + -7(2 + 3p)] 17 = 0.3[24 + -20p + (2 * -7 + 3p * -7)] 17 = 0.3[24 + -20p + (-14 + -21p)] Reorder the terms: 17 = 0.3[24 + -14 + -20p + -21p] Combine like terms: 24 + -14 = 10 17 = 0.3[10 + -20p + -21p] Combine like terms: -20p + -21p = -41p 17 = 0.3[10 + -41p] 17 = [10 * 0.3 + -41p * 0.3] 17 = [3 + -12.3p] Solving 17 = 3 + -12.3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12.3p' to each side of the equation. 17 + 12.3p = 3 + -12.3p + 12.3p Combine like terms: -12.3p + 12.3p = 0.0 17 + 12.3p = 3 + 0.0 17 + 12.3p = 3 Add '-17' to each side of the equation. 17 + -17 + 12.3p = 3 + -17 Combine like terms: 17 + -17 = 0 0 + 12.3p = 3 + -17 12.3p = 3 + -17 Combine like terms: 3 + -17 = -14 12.3p = -14 Divide each side by '12.3'. p = -1.138211382 Simplifying p = -1.138211382
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