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Simplifying -6 + -5 + -3n + n = 1 + 5n + 2 Combine like terms: -6 + -5 = -11 -11 + -3n + n = 1 + 5n + 2 Combine like terms: -3n + n = -2n -11 + -2n = 1 + 5n + 2 Reorder the terms: -11 + -2n = 1 + 2 + 5n Combine like terms: 1 + 2 = 3 -11 + -2n = 3 + 5n Solving -11 + -2n = 3 + 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. -11 + -2n + -5n = 3 + 5n + -5n Combine like terms: -2n + -5n = -7n -11 + -7n = 3 + 5n + -5n Combine like terms: 5n + -5n = 0 -11 + -7n = 3 + 0 -11 + -7n = 3 Add '11' to each side of the equation. -11 + 11 + -7n = 3 + 11 Combine like terms: -11 + 11 = 0 0 + -7n = 3 + 11 -7n = 3 + 11 Combine like terms: 3 + 11 = 14 -7n = 14 Divide each side by '-7'. n = -2 Simplifying n = -2
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