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Simplifying -1n + -4(-6n + -5) = 40 + 3n Reorder the terms: -1n + -4(-5 + -6n) = 40 + 3n -1n + (-5 * -4 + -6n * -4) = 40 + 3n -1n + (20 + 24n) = 40 + 3n Reorder the terms: 20 + -1n + 24n = 40 + 3n Combine like terms: -1n + 24n = 23n 20 + 23n = 40 + 3n Solving 20 + 23n = 40 + 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. 20 + 23n + -3n = 40 + 3n + -3n Combine like terms: 23n + -3n = 20n 20 + 20n = 40 + 3n + -3n Combine like terms: 3n + -3n = 0 20 + 20n = 40 + 0 20 + 20n = 40 Add '-20' to each side of the equation. 20 + -20 + 20n = 40 + -20 Combine like terms: 20 + -20 = 0 0 + 20n = 40 + -20 20n = 40 + -20 Combine like terms: 40 + -20 = 20 20n = 20 Divide each side by '20'. n = 1 Simplifying n = 1
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