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Simplifying 5d + 45 = 23 + -3d Reorder the terms: 45 + 5d = 23 + -3d Solving 45 + 5d = 23 + -3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3d' to each side of the equation. 45 + 5d + 3d = 23 + -3d + 3d Combine like terms: 5d + 3d = 8d 45 + 8d = 23 + -3d + 3d Combine like terms: -3d + 3d = 0 45 + 8d = 23 + 0 45 + 8d = 23 Add '-45' to each side of the equation. 45 + -45 + 8d = 23 + -45 Combine like terms: 45 + -45 = 0 0 + 8d = 23 + -45 8d = 23 + -45 Combine like terms: 23 + -45 = -22 8d = -22 Divide each side by '8'. d = -2.75 Simplifying d = -2.75
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