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Simplifying -41 + -9n = 2n + -4(5n + -1) Reorder the terms: -41 + -9n = 2n + -4(-1 + 5n) -41 + -9n = 2n + (-1 * -4 + 5n * -4) -41 + -9n = 2n + (4 + -20n) Reorder the terms: -41 + -9n = 4 + 2n + -20n Combine like terms: 2n + -20n = -18n -41 + -9n = 4 + -18n Solving -41 + -9n = 4 + -18n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '18n' to each side of the equation. -41 + -9n + 18n = 4 + -18n + 18n Combine like terms: -9n + 18n = 9n -41 + 9n = 4 + -18n + 18n Combine like terms: -18n + 18n = 0 -41 + 9n = 4 + 0 -41 + 9n = 4 Add '41' to each side of the equation. -41 + 41 + 9n = 4 + 41 Combine like terms: -41 + 41 = 0 0 + 9n = 4 + 41 9n = 4 + 41 Combine like terms: 4 + 41 = 45 9n = 45 Divide each side by '9'. n = 5 Simplifying n = 5
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