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Simplifying 133 = 7(1 + 6n) 133 = (1 * 7 + 6n * 7) 133 = (7 + 42n) Solving 133 = 7 + 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. 133 + -42n = 7 + 42n + -42n Combine like terms: 42n + -42n = 0 133 + -42n = 7 + 0 133 + -42n = 7 Add '-133' to each side of the equation. 133 + -133 + -42n = 7 + -133 Combine like terms: 133 + -133 = 0 0 + -42n = 7 + -133 -42n = 7 + -133 Combine like terms: 7 + -133 = -126 -42n = -126 Divide each side by '-42'. n = 3 Simplifying n = 3
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