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Simplifying -7d + -10(-12 + -6d) = 0 -7d + (-12 * -10 + -6d * -10) = 0 -7d + (120 + 60d) = 0 Reorder the terms: 120 + -7d + 60d = 0 Combine like terms: -7d + 60d = 53d 120 + 53d = 0 Solving 120 + 53d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + -120 + 53d = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 53d = 0 + -120 53d = 0 + -120 Combine like terms: 0 + -120 = -120 53d = -120 Divide each side by '53'. d = -2.264150943 Simplifying d = -2.264150943
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