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Simplifying 6(2n + 7) = -14 + 5n Reorder the terms: 6(7 + 2n) = -14 + 5n (7 * 6 + 2n * 6) = -14 + 5n (42 + 12n) = -14 + 5n Solving 42 + 12n = -14 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 42 + 12n + -5n = -14 + 5n + -5n Combine like terms: 12n + -5n = 7n 42 + 7n = -14 + 5n + -5n Combine like terms: 5n + -5n = 0 42 + 7n = -14 + 0 42 + 7n = -14 Add '-42' to each side of the equation. 42 + -42 + 7n = -14 + -42 Combine like terms: 42 + -42 = 0 0 + 7n = -14 + -42 7n = -14 + -42 Combine like terms: -14 + -42 = -56 7n = -56 Divide each side by '7'. n = -8 Simplifying n = -8
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