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Simplifying 2(9n + -1) + 7(n + 6) = -35 Reorder the terms: 2(-1 + 9n) + 7(n + 6) = -35 (-1 * 2 + 9n * 2) + 7(n + 6) = -35 (-2 + 18n) + 7(n + 6) = -35 Reorder the terms: -2 + 18n + 7(6 + n) = -35 -2 + 18n + (6 * 7 + n * 7) = -35 -2 + 18n + (42 + 7n) = -35 Reorder the terms: -2 + 42 + 18n + 7n = -35 Combine like terms: -2 + 42 = 40 40 + 18n + 7n = -35 Combine like terms: 18n + 7n = 25n 40 + 25n = -35 Solving 40 + 25n = -35 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 25n = -35 + -40 Combine like terms: 40 + -40 = 0 0 + 25n = -35 + -40 25n = -35 + -40 Combine like terms: -35 + -40 = -75 25n = -75 Divide each side by '25'. n = -3 Simplifying n = -3
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