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Simplifying 3d + -5 = 2(5 + -2d) Reorder the terms: -5 + 3d = 2(5 + -2d) -5 + 3d = (5 * 2 + -2d * 2) -5 + 3d = (10 + -4d) Solving -5 + 3d = 10 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. -5 + 3d + 4d = 10 + -4d + 4d Combine like terms: 3d + 4d = 7d -5 + 7d = 10 + -4d + 4d Combine like terms: -4d + 4d = 0 -5 + 7d = 10 + 0 -5 + 7d = 10 Add '5' to each side of the equation. -5 + 5 + 7d = 10 + 5 Combine like terms: -5 + 5 = 0 0 + 7d = 10 + 5 7d = 10 + 5 Combine like terms: 10 + 5 = 15 7d = 15 Divide each side by '7'. d = 2.142857143 Simplifying d = 2.142857143
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