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Simplifying 3(4n + -1) + 5(n + -2) = 0 Reorder the terms: 3(-1 + 4n) + 5(n + -2) = 0 (-1 * 3 + 4n * 3) + 5(n + -2) = 0 (-3 + 12n) + 5(n + -2) = 0 Reorder the terms: -3 + 12n + 5(-2 + n) = 0 -3 + 12n + (-2 * 5 + n * 5) = 0 -3 + 12n + (-10 + 5n) = 0 Reorder the terms: -3 + -10 + 12n + 5n = 0 Combine like terms: -3 + -10 = -13 -13 + 12n + 5n = 0 Combine like terms: 12n + 5n = 17n -13 + 17n = 0 Solving -13 + 17n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 17n = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 17n = 0 + 13 17n = 0 + 13 Combine like terms: 0 + 13 = 13 17n = 13 Divide each side by '17'. n = 0.7647058824 Simplifying n = 0.7647058824
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