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Simplifying 0.67(1 + n) = -0.5n (1 * 0.67 + n * 0.67) = -0.5n (0.67 + 0.67n) = -0.5n Solving 0.67 + 0.67n = -0.5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.5n' to each side of the equation. 0.67 + 0.67n + 0.5n = -0.5n + 0.5n Combine like terms: 0.67n + 0.5n = 1.17n 0.67 + 1.17n = -0.5n + 0.5n Combine like terms: -0.5n + 0.5n = 0.0 0.67 + 1.17n = 0.0 Add '-0.67' to each side of the equation. 0.67 + -0.67 + 1.17n = 0.0 + -0.67 Combine like terms: 0.67 + -0.67 = 0.00 0.00 + 1.17n = 0.0 + -0.67 1.17n = 0.0 + -0.67 Combine like terms: 0.0 + -0.67 = -0.67 1.17n = -0.67 Divide each side by '1.17'. n = -0.5726495726 Simplifying n = -0.5726495726
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