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Simplifying 4(6n + 2) + -7n = 3(3n + -8) Reorder the terms: 4(2 + 6n) + -7n = 3(3n + -8) (2 * 4 + 6n * 4) + -7n = 3(3n + -8) (8 + 24n) + -7n = 3(3n + -8) Combine like terms: 24n + -7n = 17n 8 + 17n = 3(3n + -8) Reorder the terms: 8 + 17n = 3(-8 + 3n) 8 + 17n = (-8 * 3 + 3n * 3) 8 + 17n = (-24 + 9n) Solving 8 + 17n = -24 + 9n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-9n' to each side of the equation. 8 + 17n + -9n = -24 + 9n + -9n Combine like terms: 17n + -9n = 8n 8 + 8n = -24 + 9n + -9n Combine like terms: 9n + -9n = 0 8 + 8n = -24 + 0 8 + 8n = -24 Add '-8' to each side of the equation. 8 + -8 + 8n = -24 + -8 Combine like terms: 8 + -8 = 0 0 + 8n = -24 + -8 8n = -24 + -8 Combine like terms: -24 + -8 = -32 8n = -32 Divide each side by '8'. n = -4 Simplifying n = -4
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