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Simplifying 0.5(2n + -6) = 4n + -1 Reorder the terms: 0.5(-6 + 2n) = 4n + -1 (-6 * 0.5 + 2n * 0.5) = 4n + -1 (-3 + 1n) = 4n + -1 Reorder the terms: -3 + 1n = -1 + 4n Solving -3 + 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. -3 + 1n + -4n = -1 + 4n + -4n Combine like terms: 1n + -4n = -3n -3 + -3n = -1 + 4n + -4n Combine like terms: 4n + -4n = 0 -3 + -3n = -1 + 0 -3 + -3n = -1 Add '3' to each side of the equation. -3 + 3 + -3n = -1 + 3 Combine like terms: -3 + 3 = 0 0 + -3n = -1 + 3 -3n = -1 + 3 Combine like terms: -1 + 3 = 2 -3n = 2 Divide each side by '-3'. n = -0.6666666667 Simplifying n = -0.6666666667
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