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Simplifying 8(n + -8) = 3n + -34 Reorder the terms: 8(-8 + n) = 3n + -34 (-8 * 8 + n * 8) = 3n + -34 (-64 + 8n) = 3n + -34 Reorder the terms: -64 + 8n = -34 + 3n Solving -64 + 8n = -34 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -64 + 8n + -3n = -34 + 3n + -3n Combine like terms: 8n + -3n = 5n -64 + 5n = -34 + 3n + -3n Combine like terms: 3n + -3n = 0 -64 + 5n = -34 + 0 -64 + 5n = -34 Add '64' to each side of the equation. -64 + 64 + 5n = -34 + 64 Combine like terms: -64 + 64 = 0 0 + 5n = -34 + 64 5n = -34 + 64 Combine like terms: -34 + 64 = 30 5n = 30 Divide each side by '5'. n = 6 Simplifying n = 6
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