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Simplifying 7(1 + -7n) = -35 + -7n (1 * 7 + -7n * 7) = -35 + -7n (7 + -49n) = -35 + -7n Solving 7 + -49n = -35 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 7 + -49n + 7n = -35 + -7n + 7n Combine like terms: -49n + 7n = -42n 7 + -42n = -35 + -7n + 7n Combine like terms: -7n + 7n = 0 7 + -42n = -35 + 0 7 + -42n = -35 Add '-7' to each side of the equation. 7 + -7 + -42n = -35 + -7 Combine like terms: 7 + -7 = 0 0 + -42n = -35 + -7 -42n = -35 + -7 Combine like terms: -35 + -7 = -42 -42n = -42 Divide each side by '-42'. n = 1 Simplifying n = 1
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