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Simplifying 37 = -6(1 + 6n) + -1(6n + -1) 37 = (1 * -6 + 6n * -6) + -1(6n + -1) 37 = (-6 + -36n) + -1(6n + -1) Reorder the terms: 37 = -6 + -36n + -1(-1 + 6n) 37 = -6 + -36n + (-1 * -1 + 6n * -1) 37 = -6 + -36n + (1 + -6n) Reorder the terms: 37 = -6 + 1 + -36n + -6n Combine like terms: -6 + 1 = -5 37 = -5 + -36n + -6n Combine like terms: -36n + -6n = -42n 37 = -5 + -42n Solving 37 = -5 + -42n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '42n' to each side of the equation. 37 + 42n = -5 + -42n + 42n Combine like terms: -42n + 42n = 0 37 + 42n = -5 + 0 37 + 42n = -5 Add '-37' to each side of the equation. 37 + -37 + 42n = -5 + -37 Combine like terms: 37 + -37 = 0 0 + 42n = -5 + -37 42n = -5 + -37 Combine like terms: -5 + -37 = -42 42n = -42 Divide each side by '42'. n = -1 Simplifying n = -1
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