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Simplifying 0.5d + 6.4 = 4.9 + -0.1d Reorder the terms: 6.4 + 0.5d = 4.9 + -0.1d Solving 6.4 + 0.5d = 4.9 + -0.1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '0.1d' to each side of the equation. 6.4 + 0.5d + 0.1d = 4.9 + -0.1d + 0.1d Combine like terms: 0.5d + 0.1d = 0.6d 6.4 + 0.6d = 4.9 + -0.1d + 0.1d Combine like terms: -0.1d + 0.1d = 0.0 6.4 + 0.6d = 4.9 + 0.0 6.4 + 0.6d = 4.9 Add '-6.4' to each side of the equation. 6.4 + -6.4 + 0.6d = 4.9 + -6.4 Combine like terms: 6.4 + -6.4 = 0.0 0.0 + 0.6d = 4.9 + -6.4 0.6d = 4.9 + -6.4 Combine like terms: 4.9 + -6.4 = -1.5 0.6d = -1.5 Divide each side by '0.6'. d = -2.5 Simplifying d = -2.5
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