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Simplifying 4(3d + 10) = 5d + -9 Reorder the terms: 4(10 + 3d) = 5d + -9 (10 * 4 + 3d * 4) = 5d + -9 (40 + 12d) = 5d + -9 Reorder the terms: 40 + 12d = -9 + 5d Solving 40 + 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. 40 + 12d + -5d = -9 + 5d + -5d Combine like terms: 12d + -5d = 7d 40 + 7d = -9 + 5d + -5d Combine like terms: 5d + -5d = 0 40 + 7d = -9 + 0 40 + 7d = -9 Add '-40' to each side of the equation. 40 + -40 + 7d = -9 + -40 Combine like terms: 40 + -40 = 0 0 + 7d = -9 + -40 7d = -9 + -40 Combine like terms: -9 + -40 = -49 7d = -49 Divide each side by '7'. d = -7 Simplifying d = -7
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