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Simplifying 34 + -1n = 8(n + 2) Reorder the terms: 34 + -1n = 8(2 + n) 34 + -1n = (2 * 8 + n * 8) 34 + -1n = (16 + 8n) Solving 34 + -1n = 16 + 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 + -1n + -8n = 16 + 8n + -8n Combine like terms: -1n + -8n = -9n 34 + -9n = 16 + 8n + -8n Combine like terms: 8n + -8n = 0 34 + -9n = 16 + 0 34 + -9n = 16 Add '-34' to each side of the equation. 34 + -34 + -9n = 16 + -34 Combine like terms: 34 + -34 = 0 0 + -9n = 16 + -34 -9n = 16 + -34 Combine like terms: 16 + -34 = -18 -9n = -18 Divide each side by '-9'. n = 2 Simplifying n = 2
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