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Simplifying 2(3n + 4) = 30 + -4(-2n + -5) Reorder the terms: 2(4 + 3n) = 30 + -4(-2n + -5) (4 * 2 + 3n * 2) = 30 + -4(-2n + -5) (8 + 6n) = 30 + -4(-2n + -5) Reorder the terms: 8 + 6n = 30 + -4(-5 + -2n) 8 + 6n = 30 + (-5 * -4 + -2n * -4) 8 + 6n = 30 + (20 + 8n) Combine like terms: 30 + 20 = 50 8 + 6n = 50 + 8n Solving 8 + 6n = 50 + 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. 8 + 6n + -8n = 50 + 8n + -8n Combine like terms: 6n + -8n = -2n 8 + -2n = 50 + 8n + -8n Combine like terms: 8n + -8n = 0 8 + -2n = 50 + 0 8 + -2n = 50 Add '-8' to each side of the equation. 8 + -8 + -2n = 50 + -8 Combine like terms: 8 + -8 = 0 0 + -2n = 50 + -8 -2n = 50 + -8 Combine like terms: 50 + -8 = 42 -2n = 42 Divide each side by '-2'. n = -21 Simplifying n = -21
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