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