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Simplifying 4(n + -5) + -1(6n + -2) = 3n Reorder the terms: 4(-5 + n) + -1(6n + -2) = 3n (-5 * 4 + n * 4) + -1(6n + -2) = 3n (-20 + 4n) + -1(6n + -2) = 3n Reorder the terms: -20 + 4n + -1(-2 + 6n) = 3n -20 + 4n + (-2 * -1 + 6n * -1) = 3n -20 + 4n + (2 + -6n) = 3n Reorder the terms: -20 + 2 + 4n + -6n = 3n Combine like terms: -20 + 2 = -18 -18 + 4n + -6n = 3n Combine like terms: 4n + -6n = -2n -18 + -2n = 3n Solving -18 + -2n = 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -18 + -2n + -3n = 3n + -3n Combine like terms: -2n + -3n = -5n -18 + -5n = 3n + -3n Combine like terms: 3n + -3n = 0 -18 + -5n = 0 Add '18' to each side of the equation. -18 + 18 + -5n = 0 + 18 Combine like terms: -18 + 18 = 0 0 + -5n = 0 + 18 -5n = 0 + 18 Combine like terms: 0 + 18 = 18 -5n = 18 Divide each side by '-5'. n = -3.6 Simplifying n = -3.6
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