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Simplifying 12 + 7d = d + -6 Reorder the terms: 12 + 7d = -6 + d Solving 12 + 7d = -6 + d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 12 + 7d + -1d = -6 + d + -1d Combine like terms: 7d + -1d = 6d 12 + 6d = -6 + d + -1d Combine like terms: d + -1d = 0 12 + 6d = -6 + 0 12 + 6d = -6 Add '-12' to each side of the equation. 12 + -12 + 6d = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 6d = -6 + -12 6d = -6 + -12 Combine like terms: -6 + -12 = -18 6d = -18 Divide each side by '6'. d = -3 Simplifying d = -3
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