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Simplifying 4d = 9d + -1(7 + -6d) 4d = 9d + (7 * -1 + -6d * -1) 4d = 9d + (-7 + 6d) Reorder the terms: 4d = -7 + 9d + 6d Combine like terms: 9d + 6d = 15d 4d = -7 + 15d Solving 4d = -7 + 15d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-15d' to each side of the equation. 4d + -15d = -7 + 15d + -15d Combine like terms: 4d + -15d = -11d -11d = -7 + 15d + -15d Combine like terms: 15d + -15d = 0 -11d = -7 + 0 -11d = -7 Divide each side by '-11'. d = 0.6363636364 Simplifying d = 0.6363636364
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