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Simplifying 7 + -2d = 15 + -5d Solving 7 + -2d = 15 + -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. 7 + -2d + 5d = 15 + -5d + 5d Combine like terms: -2d + 5d = 3d 7 + 3d = 15 + -5d + 5d Combine like terms: -5d + 5d = 0 7 + 3d = 15 + 0 7 + 3d = 15 Add '-7' to each side of the equation. 7 + -7 + 3d = 15 + -7 Combine like terms: 7 + -7 = 0 0 + 3d = 15 + -7 3d = 15 + -7 Combine like terms: 15 + -7 = 8 3d = 8 Divide each side by '3'. d = 2.666666667 Simplifying d = 2.666666667
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