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Simplifying 5 + 6n = 10 + -3n Solving 5 + 6n = 10 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 5 + 6n + 3n = 10 + -3n + 3n Combine like terms: 6n + 3n = 9n 5 + 9n = 10 + -3n + 3n Combine like terms: -3n + 3n = 0 5 + 9n = 10 + 0 5 + 9n = 10 Add '-5' to each side of the equation. 5 + -5 + 9n = 10 + -5 Combine like terms: 5 + -5 = 0 0 + 9n = 10 + -5 9n = 10 + -5 Combine like terms: 10 + -5 = 5 9n = 5 Divide each side by '9'. n = 0.5555555556 Simplifying n = 0.5555555556
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