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Simplifying 4d + -10(3d + -27) = 120 Reorder the terms: 4d + -10(-27 + 3d) = 120 4d + (-27 * -10 + 3d * -10) = 120 4d + (270 + -30d) = 120 Reorder the terms: 270 + 4d + -30d = 120 Combine like terms: 4d + -30d = -26d 270 + -26d = 120 Solving 270 + -26d = 120 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-270' to each side of the equation. 270 + -270 + -26d = 120 + -270 Combine like terms: 270 + -270 = 0 0 + -26d = 120 + -270 -26d = 120 + -270 Combine like terms: 120 + -270 = -150 -26d = -150 Divide each side by '-26'. d = 5.769230769 Simplifying d = 5.769230769
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