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Simplifying 3n + 4 + 4n = -6 + n Reorder the terms: 4 + 3n + 4n = -6 + n Combine like terms: 3n + 4n = 7n 4 + 7n = -6 + n Solving 4 + 7n = -6 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 4 + 7n + -1n = -6 + n + -1n Combine like terms: 7n + -1n = 6n 4 + 6n = -6 + n + -1n Combine like terms: n + -1n = 0 4 + 6n = -6 + 0 4 + 6n = -6 Add '-4' to each side of the equation. 4 + -4 + 6n = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 6n = -6 + -4 6n = -6 + -4 Combine like terms: -6 + -4 = -10 6n = -10 Divide each side by '6'. n = -1.666666667 Simplifying n = -1.666666667
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