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Simplifying 0.5(2n + -5) = 4n + -1 Reorder the terms: 0.5(-5 + 2n) = 4n + -1 (-5 * 0.5 + 2n * 0.5) = 4n + -1 (-2.5 + 1n) = 4n + -1 Reorder the terms: -2.5 + 1n = -1 + 4n Solving -2.5 + 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. -2.5 + 1n + -4n = -1 + 4n + -4n Combine like terms: 1n + -4n = -3n -2.5 + -3n = -1 + 4n + -4n Combine like terms: 4n + -4n = 0 -2.5 + -3n = -1 + 0 -2.5 + -3n = -1 Add '2.5' to each side of the equation. -2.5 + 2.5 + -3n = -1 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -3n = -1 + 2.5 -3n = -1 + 2.5 Combine like terms: -1 + 2.5 = 1.5 -3n = 1.5 Divide each side by '-3'. n = -0.5 Simplifying n = -0.5
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