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Simplifying -6(7n + 1) = 34 + -2n Reorder the terms: -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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