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Simplifying 2(d + 6) = 3d + -1 Reorder the terms: 2(6 + d) = 3d + -1 (6 * 2 + d * 2) = 3d + -1 (12 + 2d) = 3d + -1 Reorder the terms: 12 + 2d = -1 + 3d Solving 12 + 2d = -1 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 12 + 2d + -3d = -1 + 3d + -3d Combine like terms: 2d + -3d = -1d 12 + -1d = -1 + 3d + -3d Combine like terms: 3d + -3d = 0 12 + -1d = -1 + 0 12 + -1d = -1 Add '-12' to each side of the equation. 12 + -12 + -1d = -1 + -12 Combine like terms: 12 + -12 = 0 0 + -1d = -1 + -12 -1d = -1 + -12 Combine like terms: -1 + -12 = -13 -1d = -13 Divide each side by '-1'. d = 13 Simplifying d = 13
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