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Simplifying -0.333(n + 8) + 0.333n = 1 + -1n Reorder the terms: -0.333(8 + n) + 0.333n = 1 + -1n (8 * -0.333 + n * -0.333) + 0.333n = 1 + -1n (-2.664 + -0.333n) + 0.333n = 1 + -1n Combine like terms: -0.333n + 0.333n = 0.000 -2.664 + 0.000 = 1 + -1n -2.664 = 1 + -1n Solving -2.664 = 1 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -2.664 + n = 1 + -1n + n Combine like terms: -1n + n = 0 -2.664 + n = 1 + 0 -2.664 + n = 1 Add '2.664' to each side of the equation. -2.664 + 2.664 + n = 1 + 2.664 Combine like terms: -2.664 + 2.664 = 0.000 0.000 + n = 1 + 2.664 n = 1 + 2.664 Combine like terms: 1 + 2.664 = 3.664 n = 3.664 Simplifying n = 3.664
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