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Simplifying 2(3d + -2) + -5d = 3 + -2d Reorder the terms: 2(-2 + 3d) + -5d = 3 + -2d (-2 * 2 + 3d * 2) + -5d = 3 + -2d (-4 + 6d) + -5d = 3 + -2d Combine like terms: 6d + -5d = 1d -4 + 1d = 3 + -2d Solving -4 + 1d = 3 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. -4 + 1d + 2d = 3 + -2d + 2d Combine like terms: 1d + 2d = 3d -4 + 3d = 3 + -2d + 2d Combine like terms: -2d + 2d = 0 -4 + 3d = 3 + 0 -4 + 3d = 3 Add '4' to each side of the equation. -4 + 4 + 3d = 3 + 4 Combine like terms: -4 + 4 = 0 0 + 3d = 3 + 4 3d = 3 + 4 Combine like terms: 3 + 4 = 7 3d = 7 Divide each side by '3'. d = 2.333333333 Simplifying d = 2.333333333
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