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Simplifying -0.4(n + 0.125) = 0.5(n + -0.166) Reorder the terms: -0.4(0.125 + n) = 0.5(n + -0.166) (0.125 * -0.4 + n * -0.4) = 0.5(n + -0.166) (-0.05 + -0.4n) = 0.5(n + -0.166) Reorder the terms: -0.05 + -0.4n = 0.5(-0.166 + n) -0.05 + -0.4n = (-0.166 * 0.5 + n * 0.5) -0.05 + -0.4n = (-0.083 + 0.5n) Solving -0.05 + -0.4n = -0.083 + 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. -0.05 + -0.4n + -0.5n = -0.083 + 0.5n + -0.5n Combine like terms: -0.4n + -0.5n = -0.9n -0.05 + -0.9n = -0.083 + 0.5n + -0.5n Combine like terms: 0.5n + -0.5n = 0.0 -0.05 + -0.9n = -0.083 + 0.0 -0.05 + -0.9n = -0.083 Add '0.05' to each side of the equation. -0.05 + 0.05 + -0.9n = -0.083 + 0.05 Combine like terms: -0.05 + 0.05 = 0.00 0.00 + -0.9n = -0.083 + 0.05 -0.9n = -0.083 + 0.05 Combine like terms: -0.083 + 0.05 = -0.033 -0.9n = -0.033 Divide each side by '-0.9'. n = 0.03666666667 Simplifying n = 0.03666666667
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