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Simplifying -31 + 4n = 6(1 + 6n) + 5n -31 + 4n = (1 * 6 + 6n * 6) + 5n -31 + 4n = (6 + 36n) + 5n Combine like terms: 36n + 5n = 41n -31 + 4n = 6 + 41n Solving -31 + 4n = 6 + 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. -31 + 4n + -41n = 6 + 41n + -41n Combine like terms: 4n + -41n = -37n -31 + -37n = 6 + 41n + -41n Combine like terms: 41n + -41n = 0 -31 + -37n = 6 + 0 -31 + -37n = 6 Add '31' to each side of the equation. -31 + 31 + -37n = 6 + 31 Combine like terms: -31 + 31 = 0 0 + -37n = 6 + 31 -37n = 6 + 31 Combine like terms: 6 + 31 = 37 -37n = 37 Divide each side by '-37'. n = -1 Simplifying n = -1
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