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Simplifying 49 = 7(1 + 6n) 49 = (1 * 7 + 6n * 7) 49 = (7 + 42n) Solving 49 = 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. 49 + -42n = 7 + 42n + -42n Combine like terms: 42n + -42n = 0 49 + -42n = 7 + 0 49 + -42n = 7 Add '-49' to each side of the equation. 49 + -49 + -42n = 7 + -49 Combine like terms: 49 + -49 = 0 0 + -42n = 7 + -49 -42n = 7 + -49 Combine like terms: 7 + -49 = -42 -42n = -42 Divide each side by '-42'. n = 1 Simplifying n = 1
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