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Simplifying 0.05(2n + -5) = 4n + -1 Reorder the terms: 0.05(-5 + 2n) = 4n + -1 (-5 * 0.05 + 2n * 0.05) = 4n + -1 (-0.25 + 0.1n) = 4n + -1 Reorder the terms: -0.25 + 0.1n = -1 + 4n Solving -0.25 + 0.1n = -1 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -0.25 + 0.1n + -4n = -1 + 4n + -4n Combine like terms: 0.1n + -4n = -3.9n -0.25 + -3.9n = -1 + 4n + -4n Combine like terms: 4n + -4n = 0 -0.25 + -3.9n = -1 + 0 -0.25 + -3.9n = -1 Add '0.25' to each side of the equation. -0.25 + 0.25 + -3.9n = -1 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.00 + -3.9n = -1 + 0.25 -3.9n = -1 + 0.25 Combine like terms: -1 + 0.25 = -0.75 -3.9n = -0.75 Divide each side by '-3.9'. n = 0.1923076923 Simplifying n = 0.1923076923
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