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