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Simplifying 2d + 6 = 5d + -12 Reorder the terms: 6 + 2d = 5d + -12 Reorder the terms: 6 + 2d = -12 + 5d Solving 6 + 2d = -12 + 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. 6 + 2d + -5d = -12 + 5d + -5d Combine like terms: 2d + -5d = -3d 6 + -3d = -12 + 5d + -5d Combine like terms: 5d + -5d = 0 6 + -3d = -12 + 0 6 + -3d = -12 Add '-6' to each side of the equation. 6 + -6 + -3d = -12 + -6 Combine like terms: 6 + -6 = 0 0 + -3d = -12 + -6 -3d = -12 + -6 Combine like terms: -12 + -6 = -18 -3d = -18 Divide each side by '-3'. d = 6 Simplifying d = 6
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