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Simplifying 6n + 7 + -3n = 8 + 5n + -11 Reorder the terms: 7 + 6n + -3n = 8 + 5n + -11 Combine like terms: 6n + -3n = 3n 7 + 3n = 8 + 5n + -11 Reorder the terms: 7 + 3n = 8 + -11 + 5n Combine like terms: 8 + -11 = -3 7 + 3n = -3 + 5n Solving 7 + 3n = -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. 7 + 3n + -5n = -3 + 5n + -5n Combine like terms: 3n + -5n = -2n 7 + -2n = -3 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + -2n = -3 + 0 7 + -2n = -3 Add '-7' to each side of the equation. 7 + -7 + -2n = -3 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = -3 + -7 -2n = -3 + -7 Combine like terms: -3 + -7 = -10 -2n = -10 Divide each side by '-2'. n = 5 Simplifying n = 5
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