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Simplifying 0.10(d) + 0.25(46 + -1d) = 6.70 0.10d + (46 * 0.25 + -1d * 0.25) = 6.70 0.10d + (11.5 + -0.25d) = 6.70 Reorder the terms: 11.5 + 0.10d + -0.25d = 6.70 Combine like terms: 0.10d + -0.25d = -0.15d 11.5 + -0.15d = 6.70 Solving 11.5 + -0.15d = 6.70 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-11.5' to each side of the equation. 11.5 + -11.5 + -0.15d = 6.70 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -0.15d = 6.70 + -11.5 -0.15d = 6.70 + -11.5 Combine like terms: 6.70 + -11.5 = -4.8 -0.15d = -4.8 Divide each side by '-0.15'. d = 32 Simplifying d = 32
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