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Simplifying 7 + 3d = 10 + -1d Solving 7 + 3d = 10 + -1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'd' to each side of the equation. 7 + 3d + d = 10 + -1d + d Combine like terms: 3d + d = 4d 7 + 4d = 10 + -1d + d Combine like terms: -1d + d = 0 7 + 4d = 10 + 0 7 + 4d = 10 Add '-7' to each side of the equation. 7 + -7 + 4d = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 4d = 10 + -7 4d = 10 + -7 Combine like terms: 10 + -7 = 3 4d = 3 Divide each side by '4'. d = 0.75 Simplifying d = 0.75
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