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Simplifying 5 + 5n = 9 + 2n Solving 5 + 5n = 9 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 5 + 5n + -2n = 9 + 2n + -2n Combine like terms: 5n + -2n = 3n 5 + 3n = 9 + 2n + -2n Combine like terms: 2n + -2n = 0 5 + 3n = 9 + 0 5 + 3n = 9 Add '-5' to each side of the equation. 5 + -5 + 3n = 9 + -5 Combine like terms: 5 + -5 = 0 0 + 3n = 9 + -5 3n = 9 + -5 Combine like terms: 9 + -5 = 4 3n = 4 Divide each side by '3'. n = 1.333333333 Simplifying n = 1.333333333
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