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Simplifying 5 + -5n + 4(3n + -2) = 39 Reorder the terms: 5 + -5n + 4(-2 + 3n) = 39 5 + -5n + (-2 * 4 + 3n * 4) = 39 5 + -5n + (-8 + 12n) = 39 Reorder the terms: 5 + -8 + -5n + 12n = 39 Combine like terms: 5 + -8 = -3 -3 + -5n + 12n = 39 Combine like terms: -5n + 12n = 7n -3 + 7n = 39 Solving -3 + 7n = 39 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + 7n = 39 + 3 Combine like terms: -3 + 3 = 0 0 + 7n = 39 + 3 7n = 39 + 3 Combine like terms: 39 + 3 = 42 7n = 42 Divide each side by '7'. n = 6 Simplifying n = 6
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