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Simplifying 15n + -1(4 + -3n) = 4n + 12 15n + (4 * -1 + -3n * -1) = 4n + 12 15n + (-4 + 3n) = 4n + 12 Reorder the terms: -4 + 15n + 3n = 4n + 12 Combine like terms: 15n + 3n = 18n -4 + 18n = 4n + 12 Reorder the terms: -4 + 18n = 12 + 4n Solving -4 + 18n = 12 + 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 + 18n + -4n = 12 + 4n + -4n Combine like terms: 18n + -4n = 14n -4 + 14n = 12 + 4n + -4n Combine like terms: 4n + -4n = 0 -4 + 14n = 12 + 0 -4 + 14n = 12 Add '4' to each side of the equation. -4 + 4 + 14n = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 14n = 12 + 4 14n = 12 + 4 Combine like terms: 12 + 4 = 16 14n = 16 Divide each side by '14'. n = 1.142857143 Simplifying n = 1.142857143
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