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Simplifying 0.10d + 0.05n(3 * 0.05) + 0.25q(-7 * 0.25) = 16.80 Multiply 3 * 0.05 0.10d + 0.05n(0.15) + 0.25q(-7 * 0.25) = 16.80 Reorder the terms for easier multiplication: 0.10d + 0.05 * 0.15n + 0.25q(-7 * 0.25) = 16.80 Multiply 0.05 * 0.15 0.10d + 0.0075n + 0.25q(-7 * 0.25) = 16.80 Multiply -7 * 0.25 0.10d + 0.0075n + 0.25q(-1.75) = 16.80 Reorder the terms for easier multiplication: 0.10d + 0.0075n + 0.25 * -1.75q = 16.80 Multiply 0.25 * -1.75 0.10d + 0.0075n + -0.4375q = 16.80 Solving 0.10d + 0.0075n + -0.4375q = 16.80 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.0075n' to each side of the equation. 0.10d + 0.0075n + -0.0075n + -0.4375q = 16.80 + -0.0075n Combine like terms: 0.0075n + -0.0075n = 0.0000 0.10d + 0.0000 + -0.4375q = 16.80 + -0.0075n 0.10d + -0.4375q = 16.80 + -0.0075n Add '0.4375q' to each side of the equation. 0.10d + -0.4375q + 0.4375q = 16.80 + -0.0075n + 0.4375q Combine like terms: -0.4375q + 0.4375q = 0.0000 0.10d + 0.0000 = 16.80 + -0.0075n + 0.4375q 0.10d = 16.80 + -0.0075n + 0.4375q Divide each side by '0.10'. d = 168 + -0.075n + 4.375q Simplifying d = 168 + -0.075n + 4.375q
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