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Simplifying -10d + 5 + 12d = d + -7 Reorder the terms: 5 + -10d + 12d = d + -7 Combine like terms: -10d + 12d = 2d 5 + 2d = d + -7 Reorder the terms: 5 + 2d = -7 + d Solving 5 + 2d = -7 + 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. 5 + 2d + -1d = -7 + d + -1d Combine like terms: 2d + -1d = 1d 5 + 1d = -7 + d + -1d Combine like terms: d + -1d = 0 5 + 1d = -7 + 0 5 + 1d = -7 Add '-5' to each side of the equation. 5 + -5 + 1d = -7 + -5 Combine like terms: 5 + -5 = 0 0 + 1d = -7 + -5 1d = -7 + -5 Combine like terms: -7 + -5 = -12 1d = -12 Divide each side by '1'. d = -12 Simplifying d = -12
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