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Simplifying 175 = 7(1 + 6n) 175 = (1 * 7 + 6n * 7) 175 = (7 + 42n) Solving 175 = 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. 175 + -42n = 7 + 42n + -42n Combine like terms: 42n + -42n = 0 175 + -42n = 7 + 0 175 + -42n = 7 Add '-175' to each side of the equation. 175 + -175 + -42n = 7 + -175 Combine like terms: 175 + -175 = 0 0 + -42n = 7 + -175 -42n = 7 + -175 Combine like terms: 7 + -175 = -168 -42n = -168 Divide each side by '-42'. n = 4 Simplifying n = 4
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