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Simplifying 4 + 2d = 10 + 5d Solving 4 + 2d = 10 + 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. 4 + 2d + -5d = 10 + 5d + -5d Combine like terms: 2d + -5d = -3d 4 + -3d = 10 + 5d + -5d Combine like terms: 5d + -5d = 0 4 + -3d = 10 + 0 4 + -3d = 10 Add '-4' to each side of the equation. 4 + -4 + -3d = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3d = 10 + -4 -3d = 10 + -4 Combine like terms: 10 + -4 = 6 -3d = 6 Divide each side by '-3'. d = -2 Simplifying d = -2
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