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Simplifying -1n + 34 = -8(n + -6) Reorder the terms: 34 + -1n = -8(n + -6) Reorder the terms: 34 + -1n = -8(-6 + n) 34 + -1n = (-6 * -8 + n * -8) 34 + -1n = (48 + -8n) Solving 34 + -1n = 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 + -1n + 8n = 48 + -8n + 8n Combine like terms: -1n + 8n = 7n 34 + 7n = 48 + -8n + 8n Combine like terms: -8n + 8n = 0 34 + 7n = 48 + 0 34 + 7n = 48 Add '-34' to each side of the equation. 34 + -34 + 7n = 48 + -34 Combine like terms: 34 + -34 = 0 0 + 7n = 48 + -34 7n = 48 + -34 Combine like terms: 48 + -34 = 14 7n = 14 Divide each side by '7'. n = 2 Simplifying n = 2
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