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Simplifying 2(d + 6) + -5 = 3d + -1 Reorder the terms: 2(6 + d) + -5 = 3d + -1 (6 * 2 + d * 2) + -5 = 3d + -1 (12 + 2d) + -5 = 3d + -1 Reorder the terms: 12 + -5 + 2d = 3d + -1 Combine like terms: 12 + -5 = 7 7 + 2d = 3d + -1 Reorder the terms: 7 + 2d = -1 + 3d Solving 7 + 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. 7 + 2d + -3d = -1 + 3d + -3d Combine like terms: 2d + -3d = -1d 7 + -1d = -1 + 3d + -3d Combine like terms: 3d + -3d = 0 7 + -1d = -1 + 0 7 + -1d = -1 Add '-7' to each side of the equation. 7 + -7 + -1d = -1 + -7 Combine like terms: 7 + -7 = 0 0 + -1d = -1 + -7 -1d = -1 + -7 Combine like terms: -1 + -7 = -8 -1d = -8 Divide each side by '-1'. d = 8 Simplifying d = 8
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