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Simplifying 3(4 + 6n) = -34 + -5n (4 * 3 + 6n * 3) = -34 + -5n (12 + 18n) = -34 + -5n Solving 12 + 18n = -34 + -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. 12 + 18n + 5n = -34 + -5n + 5n Combine like terms: 18n + 5n = 23n 12 + 23n = -34 + -5n + 5n Combine like terms: -5n + 5n = 0 12 + 23n = -34 + 0 12 + 23n = -34 Add '-12' to each side of the equation. 12 + -12 + 23n = -34 + -12 Combine like terms: 12 + -12 = 0 0 + 23n = -34 + -12 23n = -34 + -12 Combine like terms: -34 + -12 = -46 23n = -46 Divide each side by '23'. n = -2 Simplifying n = -2
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