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Simplifying -34 + 8n = 4(n + 1) + -6 Reorder the terms: -34 + 8n = 4(1 + n) + -6 -34 + 8n = (1 * 4 + n * 4) + -6 -34 + 8n = (4 + 4n) + -6 Reorder the terms: -34 + 8n = 4 + -6 + 4n Combine like terms: 4 + -6 = -2 -34 + 8n = -2 + 4n Solving -34 + 8n = -2 + 4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-4n' to each side of the equation. -34 + 8n + -4n = -2 + 4n + -4n Combine like terms: 8n + -4n = 4n -34 + 4n = -2 + 4n + -4n Combine like terms: 4n + -4n = 0 -34 + 4n = -2 + 0 -34 + 4n = -2 Add '34' to each side of the equation. -34 + 34 + 4n = -2 + 34 Combine like terms: -34 + 34 = 0 0 + 4n = -2 + 34 4n = -2 + 34 Combine like terms: -2 + 34 = 32 4n = 32 Divide each side by '4'. n = 8 Simplifying n = 8
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