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Simplifying 1 + -6(2d + -1) = 9 + -5d Reorder the terms: 1 + -6(-1 + 2d) = 9 + -5d 1 + (-1 * -6 + 2d * -6) = 9 + -5d 1 + (6 + -12d) = 9 + -5d Combine like terms: 1 + 6 = 7 7 + -12d = 9 + -5d Solving 7 + -12d = 9 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 7 + -12d + 5d = 9 + -5d + 5d Combine like terms: -12d + 5d = -7d 7 + -7d = 9 + -5d + 5d Combine like terms: -5d + 5d = 0 7 + -7d = 9 + 0 7 + -7d = 9 Add '-7' to each side of the equation. 7 + -7 + -7d = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -7d = 9 + -7 -7d = 9 + -7 Combine like terms: 9 + -7 = 2 -7d = 2 Divide each side by '-7'. d = -0.2857142857 Simplifying d = -0.2857142857
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