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Simplifying 5d + -11 = 2d + 12 Reorder the terms: -11 + 5d = 2d + 12 Reorder the terms: -11 + 5d = 12 + 2d Solving -11 + 5d = 12 + 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. -11 + 5d + -2d = 12 + 2d + -2d Combine like terms: 5d + -2d = 3d -11 + 3d = 12 + 2d + -2d Combine like terms: 2d + -2d = 0 -11 + 3d = 12 + 0 -11 + 3d = 12 Add '11' to each side of the equation. -11 + 11 + 3d = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 3d = 12 + 11 3d = 12 + 11 Combine like terms: 12 + 11 = 23 3d = 23 Divide each side by '3'. d = 7.666666667 Simplifying d = 7.666666667
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