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Simplifying 2(2d + -3) = 3(d + 2) Reorder the terms: 2(-3 + 2d) = 3(d + 2) (-3 * 2 + 2d * 2) = 3(d + 2) (-6 + 4d) = 3(d + 2) Reorder the terms: -6 + 4d = 3(2 + d) -6 + 4d = (2 * 3 + d * 3) -6 + 4d = (6 + 3d) Solving -6 + 4d = 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. -6 + 4d + -3d = 6 + 3d + -3d Combine like terms: 4d + -3d = 1d -6 + 1d = 6 + 3d + -3d Combine like terms: 3d + -3d = 0 -6 + 1d = 6 + 0 -6 + 1d = 6 Add '6' to each side of the equation. -6 + 6 + 1d = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 1d = 6 + 6 1d = 6 + 6 Combine like terms: 6 + 6 = 12 1d = 12 Divide each side by '1'. d = 12 Simplifying d = 12
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