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Simplifying 4 + -3(6d + -9) = 18 + 7d Reorder the terms: 4 + -3(-9 + 6d) = 18 + 7d 4 + (-9 * -3 + 6d * -3) = 18 + 7d 4 + (27 + -18d) = 18 + 7d Combine like terms: 4 + 27 = 31 31 + -18d = 18 + 7d Solving 31 + -18d = 18 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 31 + -18d + -7d = 18 + 7d + -7d Combine like terms: -18d + -7d = -25d 31 + -25d = 18 + 7d + -7d Combine like terms: 7d + -7d = 0 31 + -25d = 18 + 0 31 + -25d = 18 Add '-31' to each side of the equation. 31 + -31 + -25d = 18 + -31 Combine like terms: 31 + -31 = 0 0 + -25d = 18 + -31 -25d = 18 + -31 Combine like terms: 18 + -31 = -13 -25d = -13 Divide each side by '-25'. d = 0.52 Simplifying d = 0.52
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