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Simplifying 4(d + 2) + -2d = 6 + 3d Reorder the terms: 4(2 + d) + -2d = 6 + 3d (2 * 4 + d * 4) + -2d = 6 + 3d (8 + 4d) + -2d = 6 + 3d Combine like terms: 4d + -2d = 2d 8 + 2d = 6 + 3d Solving 8 + 2d = 6 + 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. 8 + 2d + -3d = 6 + 3d + -3d Combine like terms: 2d + -3d = -1d 8 + -1d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 8 + -1d = 6 + 0 8 + -1d = 6 Add '-8' to each side of the equation. 8 + -8 + -1d = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -1d = 6 + -8 -1d = 6 + -8 Combine like terms: 6 + -8 = -2 -1d = -2 Divide each side by '-1'. d = 2 Simplifying d = 2
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