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Simplifying 0.83d + 0.29 = 0.5d + -0.7 Reorder the terms: 0.29 + 0.83d = 0.5d + -0.7 Reorder the terms: 0.29 + 0.83d = -0.7 + 0.5d Solving 0.29 + 0.83d = -0.7 + 0.5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.5d' to each side of the equation. 0.29 + 0.83d + -0.5d = -0.7 + 0.5d + -0.5d Combine like terms: 0.83d + -0.5d = 0.33d 0.29 + 0.33d = -0.7 + 0.5d + -0.5d Combine like terms: 0.5d + -0.5d = 0.0 0.29 + 0.33d = -0.7 + 0.0 0.29 + 0.33d = -0.7 Add '-0.29' to each side of the equation. 0.29 + -0.29 + 0.33d = -0.7 + -0.29 Combine like terms: 0.29 + -0.29 = 0.00 0.00 + 0.33d = -0.7 + -0.29 0.33d = -0.7 + -0.29 Combine like terms: -0.7 + -0.29 = -0.99 0.33d = -0.99 Divide each side by '0.33'. d = -3 Simplifying d = -3
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