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Simplifying -0.5(n + -6) = -0.11(n + -3) Reorder the terms: -0.5(-6 + n) = -0.11(n + -3) (-6 * -0.5 + n * -0.5) = -0.11(n + -3) (3 + -0.5n) = -0.11(n + -3) Reorder the terms: 3 + -0.5n = -0.11(-3 + n) 3 + -0.5n = (-3 * -0.11 + n * -0.11) 3 + -0.5n = (0.33 + -0.11n) Solving 3 + -0.5n = 0.33 + -0.11n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '0.11n' to each side of the equation. 3 + -0.5n + 0.11n = 0.33 + -0.11n + 0.11n Combine like terms: -0.5n + 0.11n = -0.39n 3 + -0.39n = 0.33 + -0.11n + 0.11n Combine like terms: -0.11n + 0.11n = 0.00 3 + -0.39n = 0.33 + 0.00 3 + -0.39n = 0.33 Add '-3' to each side of the equation. 3 + -3 + -0.39n = 0.33 + -3 Combine like terms: 3 + -3 = 0 0 + -0.39n = 0.33 + -3 -0.39n = 0.33 + -3 Combine like terms: 0.33 + -3 = -2.67 -0.39n = -2.67 Divide each side by '-0.39'. n = 6.846153846 Simplifying n = 6.846153846
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