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Simplifying 7n + -4(n + 5) + 12 = 6 Reorder the terms: 7n + -4(5 + n) + 12 = 6 7n + (5 * -4 + n * -4) + 12 = 6 7n + (-20 + -4n) + 12 = 6 Reorder the terms: -20 + 12 + 7n + -4n = 6 Combine like terms: -20 + 12 = -8 -8 + 7n + -4n = 6 Combine like terms: 7n + -4n = 3n -8 + 3n = 6 Solving -8 + 3n = 6 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 3n = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 3n = 6 + 8 3n = 6 + 8 Combine like terms: 6 + 8 = 14 3n = 14 Divide each side by '3'. n = 4.666666667 Simplifying n = 4.666666667
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