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Simplifying 2.5(6n + -3) = 4n + 1 Reorder the terms: 2.5(-3 + 6n) = 4n + 1 (-3 * 2.5 + 6n * 2.5) = 4n + 1 (-7.5 + 15n) = 4n + 1 Reorder the terms: -7.5 + 15n = 1 + 4n Solving -7.5 + 15n = 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. -7.5 + 15n + -4n = 1 + 4n + -4n Combine like terms: 15n + -4n = 11n -7.5 + 11n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -7.5 + 11n = 1 + 0 -7.5 + 11n = 1 Add '7.5' to each side of the equation. -7.5 + 7.5 + 11n = 1 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 11n = 1 + 7.5 11n = 1 + 7.5 Combine like terms: 1 + 7.5 = 8.5 11n = 8.5 Divide each side by '11'. n = 0.7727272727 Simplifying n = 0.7727272727
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