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Simplifying 34 + 5n = -3(8n + 9) Reorder the terms: 34 + 5n = -3(9 + 8n) 34 + 5n = (9 * -3 + 8n * -3) 34 + 5n = (-27 + -24n) Solving 34 + 5n = -27 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. 34 + 5n + 24n = -27 + -24n + 24n Combine like terms: 5n + 24n = 29n 34 + 29n = -27 + -24n + 24n Combine like terms: -24n + 24n = 0 34 + 29n = -27 + 0 34 + 29n = -27 Add '-34' to each side of the equation. 34 + -34 + 29n = -27 + -34 Combine like terms: 34 + -34 = 0 0 + 29n = -27 + -34 29n = -27 + -34 Combine like terms: -27 + -34 = -61 29n = -61 Divide each side by '29'. n = -2.103448276 Simplifying n = -2.103448276
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