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Simplifying 9d + -4d + -6d + 7 = 6d Reorder the terms: 7 + 9d + -4d + -6d = 6d Combine like terms: 9d + -4d = 5d 7 + 5d + -6d = 6d Combine like terms: 5d + -6d = -1d 7 + -1d = 6d Solving 7 + -1d = 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 7 + -1d + -6d = 6d + -6d Combine like terms: -1d + -6d = -7d 7 + -7d = 6d + -6d Combine like terms: 6d + -6d = 0 7 + -7d = 0 Add '-7' to each side of the equation. 7 + -7 + -7d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -7d = 0 + -7 -7d = 0 + -7 Combine like terms: 0 + -7 = -7 -7d = -7 Divide each side by '-7'. d = 1 Simplifying d = 1
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