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Simplifying 34 + -6n = 2(-7n + -3) Reorder the terms: 34 + -6n = 2(-3 + -7n) 34 + -6n = (-3 * 2 + -7n * 2) 34 + -6n = (-6 + -14n) Solving 34 + -6n = -6 + -14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '14n' to each side of the equation. 34 + -6n + 14n = -6 + -14n + 14n Combine like terms: -6n + 14n = 8n 34 + 8n = -6 + -14n + 14n Combine like terms: -14n + 14n = 0 34 + 8n = -6 + 0 34 + 8n = -6 Add '-34' to each side of the equation. 34 + -34 + 8n = -6 + -34 Combine like terms: 34 + -34 = 0 0 + 8n = -6 + -34 8n = -6 + -34 Combine like terms: -6 + -34 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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