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Simplifying 34 + -4n = -3(8n + 2) Reorder the terms: 34 + -4n = -3(2 + 8n) 34 + -4n = (2 * -3 + 8n * -3) 34 + -4n = (-6 + -24n) Solving 34 + -4n = -6 + -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 + -4n + 24n = -6 + -24n + 24n Combine like terms: -4n + 24n = 20n 34 + 20n = -6 + -24n + 24n Combine like terms: -24n + 24n = 0 34 + 20n = -6 + 0 34 + 20n = -6 Add '-34' to each side of the equation. 34 + -34 + 20n = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 20n = -6 + -34 20n = -6 + -34 Combine like terms: -6 + -34 = -40 20n = -40 Divide each side by '20'. n = -2 Simplifying n = -2
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