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Simplifying 7(1 + -6n) = 7 + 2n (1 * 7 + -6n * 7) = 7 + 2n (7 + -42n) = 7 + 2n Add '-7' to each side of the equation. 7 + -7 + -42n = 7 + -7 + 2n Combine like terms: 7 + -7 = 0 0 + -42n = 7 + -7 + 2n -42n = 7 + -7 + 2n Combine like terms: 7 + -7 = 0 -42n = 0 + 2n -42n = 2n Solving -42n = 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. -42n + -2n = 2n + -2n Combine like terms: -42n + -2n = -44n -44n = 2n + -2n Combine like terms: 2n + -2n = 0 -44n = 0 Divide each side by '-44'. n = 0 Simplifying n = 0
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