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Simplifying 4(2d + -3) = 5d + 6 Reorder the terms: 4(-3 + 2d) = 5d + 6 (-3 * 4 + 2d * 4) = 5d + 6 (-12 + 8d) = 5d + 6 Reorder the terms: -12 + 8d = 6 + 5d Solving -12 + 8d = 6 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. -12 + 8d + -5d = 6 + 5d + -5d Combine like terms: 8d + -5d = 3d -12 + 3d = 6 + 5d + -5d Combine like terms: 5d + -5d = 0 -12 + 3d = 6 + 0 -12 + 3d = 6 Add '12' to each side of the equation. -12 + 12 + 3d = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 3d = 6 + 12 3d = 6 + 12 Combine like terms: 6 + 12 = 18 3d = 18 Divide each side by '3'. d = 6 Simplifying d = 6
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