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Simplifying 1.4(6n + -3) = 4n + 1 Reorder the terms: 1.4(-3 + 6n) = 4n + 1 (-3 * 1.4 + 6n * 1.4) = 4n + 1 (-4.2 + 8.4n) = 4n + 1 Reorder the terms: -4.2 + 8.4n = 1 + 4n Solving -4.2 + 8.4n = 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. -4.2 + 8.4n + -4n = 1 + 4n + -4n Combine like terms: 8.4n + -4n = 4.4n -4.2 + 4.4n = 1 + 4n + -4n Combine like terms: 4n + -4n = 0 -4.2 + 4.4n = 1 + 0 -4.2 + 4.4n = 1 Add '4.2' to each side of the equation. -4.2 + 4.2 + 4.4n = 1 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 4.4n = 1 + 4.2 4.4n = 1 + 4.2 Combine like terms: 1 + 4.2 = 5.2 4.4n = 5.2 Divide each side by '4.4'. n = 1.181818182 Simplifying n = 1.181818182
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