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Simplifying 3(n + 8) + 4(n + -3) = 0 Reorder the terms: 3(8 + n) + 4(n + -3) = 0 (8 * 3 + n * 3) + 4(n + -3) = 0 (24 + 3n) + 4(n + -3) = 0 Reorder the terms: 24 + 3n + 4(-3 + n) = 0 24 + 3n + (-3 * 4 + n * 4) = 0 24 + 3n + (-12 + 4n) = 0 Reorder the terms: 24 + -12 + 3n + 4n = 0 Combine like terms: 24 + -12 = 12 12 + 3n + 4n = 0 Combine like terms: 3n + 4n = 7n 12 + 7n = 0 Solving 12 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 7n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 7n = 0 + -12 7n = 0 + -12 Combine like terms: 0 + -12 = -12 7n = -12 Divide each side by '7'. n = -1.714285714 Simplifying n = -1.714285714
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