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Simplifying 6d + 7 = 5d + -2 Reorder the terms: 7 + 6d = 5d + -2 Reorder the terms: 7 + 6d = -2 + 5d Solving 7 + 6d = -2 + 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. 7 + 6d + -5d = -2 + 5d + -5d Combine like terms: 6d + -5d = 1d 7 + 1d = -2 + 5d + -5d Combine like terms: 5d + -5d = 0 7 + 1d = -2 + 0 7 + 1d = -2 Add '-7' to each side of the equation. 7 + -7 + 1d = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 1d = -2 + -7 1d = -2 + -7 Combine like terms: -2 + -7 = -9 1d = -9 Divide each side by '1'. d = -9 Simplifying d = -9
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