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Simplifying 6(n + 3) + -4(-3 + -2n) = -40 Reorder the terms: 6(3 + n) + -4(-3 + -2n) = -40 (3 * 6 + n * 6) + -4(-3 + -2n) = -40 (18 + 6n) + -4(-3 + -2n) = -40 18 + 6n + (-3 * -4 + -2n * -4) = -40 18 + 6n + (12 + 8n) = -40 Reorder the terms: 18 + 12 + 6n + 8n = -40 Combine like terms: 18 + 12 = 30 30 + 6n + 8n = -40 Combine like terms: 6n + 8n = 14n 30 + 14n = -40 Solving 30 + 14n = -40 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 14n = -40 + -30 Combine like terms: 30 + -30 = 0 0 + 14n = -40 + -30 14n = -40 + -30 Combine like terms: -40 + -30 = -70 14n = -70 Divide each side by '14'. n = -5 Simplifying n = -5
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