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Simplifying 7 + -3d = 5(2 + -1d) 7 + -3d = (2 * 5 + -1d * 5) 7 + -3d = (10 + -5d) Solving 7 + -3d = 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. 7 + -3d + 5d = 10 + -5d + 5d Combine like terms: -3d + 5d = 2d 7 + 2d = 10 + -5d + 5d Combine like terms: -5d + 5d = 0 7 + 2d = 10 + 0 7 + 2d = 10 Add '-7' to each side of the equation. 7 + -7 + 2d = 10 + -7 Combine like terms: 7 + -7 = 0 0 + 2d = 10 + -7 2d = 10 + -7 Combine like terms: 10 + -7 = 3 2d = 3 Divide each side by '2'. d = 1.5 Simplifying d = 1.5
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