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Simplifying 5n + 10 + -2n = 2n + -8 + 3n Reorder the terms: 10 + 5n + -2n = 2n + -8 + 3n Combine like terms: 5n + -2n = 3n 10 + 3n = 2n + -8 + 3n Reorder the terms: 10 + 3n = -8 + 2n + 3n Combine like terms: 2n + 3n = 5n 10 + 3n = -8 + 5n Solving 10 + 3n = -8 + 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. 10 + 3n + -5n = -8 + 5n + -5n Combine like terms: 3n + -5n = -2n 10 + -2n = -8 + 5n + -5n Combine like terms: 5n + -5n = 0 10 + -2n = -8 + 0 10 + -2n = -8 Add '-10' to each side of the equation. 10 + -10 + -2n = -8 + -10 Combine like terms: 10 + -10 = 0 0 + -2n = -8 + -10 -2n = -8 + -10 Combine like terms: -8 + -10 = -18 -2n = -18 Divide each side by '-2'. n = 9 Simplifying n = 9
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