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Simplifying 0.25(46 + -1d) = d (46 * 0.25 + -1d * 0.25) = d (11.5 + -0.25d) = d Solving 11.5 + -0.25d = d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 11.5 + -0.25d + -1d = d + -1d Combine like terms: -0.25d + -1d = -1.25d 11.5 + -1.25d = d + -1d Combine like terms: d + -1d = 0 11.5 + -1.25d = 0 Add '-11.5' to each side of the equation. 11.5 + -11.5 + -1.25d = 0 + -11.5 Combine like terms: 11.5 + -11.5 = 0.0 0.0 + -1.25d = 0 + -11.5 -1.25d = 0 + -11.5 Combine like terms: 0 + -11.5 = -11.5 -1.25d = -11.5 Divide each side by '-1.25'. d = 9.2 Simplifying d = 9.2
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