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Simplifying -7(1 + 5n) = 34 + 6n (1 * -7 + 5n * -7) = 34 + 6n (-7 + -35n) = 34 + 6n Solving -7 + -35n = 34 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. -7 + -35n + -6n = 34 + 6n + -6n Combine like terms: -35n + -6n = -41n -7 + -41n = 34 + 6n + -6n Combine like terms: 6n + -6n = 0 -7 + -41n = 34 + 0 -7 + -41n = 34 Add '7' to each side of the equation. -7 + 7 + -41n = 34 + 7 Combine like terms: -7 + 7 = 0 0 + -41n = 34 + 7 -41n = 34 + 7 Combine like terms: 34 + 7 = 41 -41n = 41 Divide each side by '-41'. n = -1 Simplifying n = -1
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