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Simplifying -6(1 + -7n) = 34 + 2n (1 * -6 + -7n * -6) = 34 + 2n (-6 + 42n) = 34 + 2n Solving -6 + 42n = 34 + 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. -6 + 42n + -2n = 34 + 2n + -2n Combine like terms: 42n + -2n = 40n -6 + 40n = 34 + 2n + -2n Combine like terms: 2n + -2n = 0 -6 + 40n = 34 + 0 -6 + 40n = 34 Add '6' to each side of the equation. -6 + 6 + 40n = 34 + 6 Combine like terms: -6 + 6 = 0 0 + 40n = 34 + 6 40n = 34 + 6 Combine like terms: 34 + 6 = 40 40n = 40 Divide each side by '40'. n = 1 Simplifying n = 1
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