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Simplifying -34 + -6n = -8(n + 4) Reorder the terms: -34 + -6n = -8(4 + n) -34 + -6n = (4 * -8 + n * -8) -34 + -6n = (-32 + -8n) Solving -34 + -6n = -32 + -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 = -32 + -8n + 8n Combine like terms: -6n + 8n = 2n -34 + 2n = -32 + -8n + 8n Combine like terms: -8n + 8n = 0 -34 + 2n = -32 + 0 -34 + 2n = -32 Add '34' to each side of the equation. -34 + 34 + 2n = -32 + 34 Combine like terms: -34 + 34 = 0 0 + 2n = -32 + 34 2n = -32 + 34 Combine like terms: -32 + 34 = 2 2n = 2 Divide each side by '2'. n = 1 Simplifying n = 1
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