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Simplifying 0.05(15 + -1d) + 0.10d = 1.15 (15 * 0.05 + -1d * 0.05) + 0.10d = 1.15 (0.75 + -0.05d) + 0.10d = 1.15 Combine like terms: -0.05d + 0.10d = 0.05d 0.75 + 0.05d = 1.15 Solving 0.75 + 0.05d = 1.15 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + 0.05d = 1.15 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + 0.05d = 1.15 + -0.75 0.05d = 1.15 + -0.75 Combine like terms: 1.15 + -0.75 = 0.4 0.05d = 0.4 Divide each side by '0.05'. d = 8 Simplifying d = 8
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