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Simplifying -5n + 6 = -35n + 42 + -6n Reorder the terms: 6 + -5n = -35n + 42 + -6n Reorder the terms: 6 + -5n = 42 + -35n + -6n Combine like terms: -35n + -6n = -41n 6 + -5n = 42 + -41n Solving 6 + -5n = 42 + -41n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '41n' to each side of the equation. 6 + -5n + 41n = 42 + -41n + 41n Combine like terms: -5n + 41n = 36n 6 + 36n = 42 + -41n + 41n Combine like terms: -41n + 41n = 0 6 + 36n = 42 + 0 6 + 36n = 42 Add '-6' to each side of the equation. 6 + -6 + 36n = 42 + -6 Combine like terms: 6 + -6 = 0 0 + 36n = 42 + -6 36n = 42 + -6 Combine like terms: 42 + -6 = 36 36n = 36 Divide each side by '36'. n = 1 Simplifying n = 1
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