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Simplifying -41 = 4(6n + 5) + -1(n + -8) Reorder the terms: -41 = 4(5 + 6n) + -1(n + -8) -41 = (5 * 4 + 6n * 4) + -1(n + -8) -41 = (20 + 24n) + -1(n + -8) Reorder the terms: -41 = 20 + 24n + -1(-8 + n) -41 = 20 + 24n + (-8 * -1 + n * -1) -41 = 20 + 24n + (8 + -1n) Reorder the terms: -41 = 20 + 8 + 24n + -1n Combine like terms: 20 + 8 = 28 -41 = 28 + 24n + -1n Combine like terms: 24n + -1n = 23n -41 = 28 + 23n Solving -41 = 28 + 23n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-23n' to each side of the equation. -41 + -23n = 28 + 23n + -23n Combine like terms: 23n + -23n = 0 -41 + -23n = 28 + 0 -41 + -23n = 28 Add '41' to each side of the equation. -41 + 41 + -23n = 28 + 41 Combine like terms: -41 + 41 = 0 0 + -23n = 28 + 41 -23n = 28 + 41 Combine like terms: 28 + 41 = 69 -23n = 69 Divide each side by '-23'. n = -3 Simplifying n = -3
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