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Simplifying 9d + -5(2d + -3) = -35 Reorder the terms: 9d + -5(-3 + 2d) = -35 9d + (-3 * -5 + 2d * -5) = -35 9d + (15 + -10d) = -35 Reorder the terms: 15 + 9d + -10d = -35 Combine like terms: 9d + -10d = -1d 15 + -1d = -35 Solving 15 + -1d = -35 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1d = -35 + -15 Combine like terms: 15 + -15 = 0 0 + -1d = -35 + -15 -1d = -35 + -15 Combine like terms: -35 + -15 = -50 -1d = -50 Divide each side by '-1'. d = 50 Simplifying d = 50
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