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Simplifying 0.05(N + -8) + 0.10(d) = 2.35 Reorder the terms: 0.05(-8 + N) + 0.10(d) = 2.35 (-8 * 0.05 + N * 0.05) + 0.10(d) = 2.35 (-0.4 + 0.05N) + 0.10(d) = 2.35 Solving -0.4 + 0.05N + 0.10d = 2.35 Solving for variable 'N'. Move all terms containing N to the left, all other terms to the right. Add '0.4' to each side of the equation. -0.4 + 0.05N + 0.4 + 0.10d = 2.35 + 0.4 Reorder the terms: -0.4 + 0.4 + 0.05N + 0.10d = 2.35 + 0.4 Combine like terms: -0.4 + 0.4 = 0.0 0.0 + 0.05N + 0.10d = 2.35 + 0.4 0.05N + 0.10d = 2.35 + 0.4 Combine like terms: 2.35 + 0.4 = 2.75 0.05N + 0.10d = 2.75 Add '-0.10d' to each side of the equation. 0.05N + 0.10d + -0.10d = 2.75 + -0.10d Combine like terms: 0.10d + -0.10d = 0.00 0.05N + 0.00 = 2.75 + -0.10d 0.05N = 2.75 + -0.10d Divide each side by '0.05'. N = 55 + -2d Simplifying N = 55 + -2d
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