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Simplifying 2 + -4n + 6 = 5n + -10 + -3n Reorder the terms: 2 + 6 + -4n = 5n + -10 + -3n Combine like terms: 2 + 6 = 8 8 + -4n = 5n + -10 + -3n Reorder the terms: 8 + -4n = -10 + 5n + -3n Combine like terms: 5n + -3n = 2n 8 + -4n = -10 + 2n Solving 8 + -4n = -10 + 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. 8 + -4n + -2n = -10 + 2n + -2n Combine like terms: -4n + -2n = -6n 8 + -6n = -10 + 2n + -2n Combine like terms: 2n + -2n = 0 8 + -6n = -10 + 0 8 + -6n = -10 Add '-8' to each side of the equation. 8 + -8 + -6n = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -6n = -10 + -8 -6n = -10 + -8 Combine like terms: -10 + -8 = -18 -6n = -18 Divide each side by '-6'. n = 3 Simplifying n = 3
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