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Simplifying 4(n + -6) + 3(n + 3) = 0 Reorder the terms: 4(-6 + n) + 3(n + 3) = 0 (-6 * 4 + n * 4) + 3(n + 3) = 0 (-24 + 4n) + 3(n + 3) = 0 Reorder the terms: -24 + 4n + 3(3 + n) = 0 -24 + 4n + (3 * 3 + n * 3) = 0 -24 + 4n + (9 + 3n) = 0 Reorder the terms: -24 + 9 + 4n + 3n = 0 Combine like terms: -24 + 9 = -15 -15 + 4n + 3n = 0 Combine like terms: 4n + 3n = 7n -15 + 7n = 0 Solving -15 + 7n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 7n = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 7n = 0 + 15 7n = 0 + 15 Combine like terms: 0 + 15 = 15 7n = 15 Divide each side by '7'. n = 2.142857143 Simplifying n = 2.142857143
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