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Simplifying 5d + -9 = 2d + 12 Reorder the terms: -9 + 5d = 2d + 12 Reorder the terms: -9 + 5d = 12 + 2d Solving -9 + 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. -9 + 5d + -2d = 12 + 2d + -2d Combine like terms: 5d + -2d = 3d -9 + 3d = 12 + 2d + -2d Combine like terms: 2d + -2d = 0 -9 + 3d = 12 + 0 -9 + 3d = 12 Add '9' to each side of the equation. -9 + 9 + 3d = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 3d = 12 + 9 3d = 12 + 9 Combine like terms: 12 + 9 = 21 3d = 21 Divide each side by '3'. d = 7 Simplifying d = 7
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