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Simplifying 34 + -6n = -8(n + -6) Reorder the terms: 34 + -6n = -8(-6 + n) 34 + -6n = (-6 * -8 + n * -8) 34 + -6n = (48 + -8n) Solving 34 + -6n = 48 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 34 + -6n + 8n = 48 + -8n + 8n Combine like terms: -6n + 8n = 2n 34 + 2n = 48 + -8n + 8n Combine like terms: -8n + 8n = 0 34 + 2n = 48 + 0 34 + 2n = 48 Add '-34' to each side of the equation. 34 + -34 + 2n = 48 + -34 Combine like terms: 34 + -34 = 0 0 + 2n = 48 + -34 2n = 48 + -34 Combine like terms: 48 + -34 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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