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Simplifying -2d + 6 = d + 45 Reorder the terms: 6 + -2d = d + 45 Reorder the terms: 6 + -2d = 45 + d Solving 6 + -2d = 45 + 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. 6 + -2d + -1d = 45 + d + -1d Combine like terms: -2d + -1d = -3d 6 + -3d = 45 + d + -1d Combine like terms: d + -1d = 0 6 + -3d = 45 + 0 6 + -3d = 45 Add '-6' to each side of the equation. 6 + -6 + -3d = 45 + -6 Combine like terms: 6 + -6 = 0 0 + -3d = 45 + -6 -3d = 45 + -6 Combine like terms: 45 + -6 = 39 -3d = 39 Divide each side by '-3'. d = -13 Simplifying d = -13
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