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Simplifying 6 + -2n + -9 = n + 11 + 4n Reorder the terms: 6 + -9 + -2n = n + 11 + 4n Combine like terms: 6 + -9 = -3 -3 + -2n = n + 11 + 4n Reorder the terms: -3 + -2n = 11 + n + 4n Combine like terms: n + 4n = 5n -3 + -2n = 11 + 5n Solving -3 + -2n = 11 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. -3 + -2n + -5n = 11 + 5n + -5n Combine like terms: -2n + -5n = -7n -3 + -7n = 11 + 5n + -5n Combine like terms: 5n + -5n = 0 -3 + -7n = 11 + 0 -3 + -7n = 11 Add '3' to each side of the equation. -3 + 3 + -7n = 11 + 3 Combine like terms: -3 + 3 = 0 0 + -7n = 11 + 3 -7n = 11 + 3 Combine like terms: 11 + 3 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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