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Simplifying -10n + 2(0.9 + -9n) = 5.8 -10n + (0.9 * 2 + -9n * 2) = 5.8 -10n + (1.8 + -18n) = 5.8 Reorder the terms: 1.8 + -10n + -18n = 5.8 Combine like terms: -10n + -18n = -28n 1.8 + -28n = 5.8 Solving 1.8 + -28n = 5.8 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1.8' to each side of the equation. 1.8 + -1.8 + -28n = 5.8 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + -28n = 5.8 + -1.8 -28n = 5.8 + -1.8 Combine like terms: 5.8 + -1.8 = 4 -28n = 4 Divide each side by '-28'. n = -0.1428571429 Simplifying n = -0.1428571429
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