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Simplifying 4d + 3 = -2d + 15 Reorder the terms: 3 + 4d = -2d + 15 Reorder the terms: 3 + 4d = 15 + -2d Solving 3 + 4d = 15 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 3 + 4d + 2d = 15 + -2d + 2d Combine like terms: 4d + 2d = 6d 3 + 6d = 15 + -2d + 2d Combine like terms: -2d + 2d = 0 3 + 6d = 15 + 0 3 + 6d = 15 Add '-3' to each side of the equation. 3 + -3 + 6d = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 6d = 15 + -3 6d = 15 + -3 Combine like terms: 15 + -3 = 12 6d = 12 Divide each side by '6'. d = 2 Simplifying d = 2
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