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Simplifying 2.35 = D(0.10) + (N + 8)(0.05) Reorder the terms for easier multiplication: 2.35 = 0.10D + (N + 8)(0.05) Reorder the terms: 2.35 = 0.10D + (8 + N)(0.05) Reorder the terms for easier multiplication: 2.35 = 0.10D + 0.05(8 + N) 2.35 = 0.10D + (8 * 0.05 + N * 0.05) 2.35 = 0.10D + (0.4 + 0.05N) Reorder the terms: 2.35 = 0.4 + 0.10D + 0.05N Solving 2.35 = 0.4 + 0.10D + 0.05N Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-0.10D' to each side of the equation. 2.35 + -0.10D = 0.4 + 0.10D + -0.10D + 0.05N Combine like terms: 0.10D + -0.10D = 0.00 2.35 + -0.10D = 0.4 + 0.00 + 0.05N 2.35 + -0.10D = 0.4 + 0.05N Add '-2.35' to each side of the equation. 2.35 + -2.35 + -0.10D = 0.4 + -2.35 + 0.05N Combine like terms: 2.35 + -2.35 = 0.00 0.00 + -0.10D = 0.4 + -2.35 + 0.05N -0.10D = 0.4 + -2.35 + 0.05N Combine like terms: 0.4 + -2.35 = -1.95 -0.10D = -1.95 + 0.05N Divide each side by '-0.10'. D = 19.5 + -0.5N Simplifying D = 19.5 + -0.5N
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