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Simplifying 2n + 8 = -4n + -10 Reorder the terms: 8 + 2n = -4n + -10 Reorder the terms: 8 + 2n = -10 + -4n Solving 8 + 2n = -10 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 8 + 2n + 4n = -10 + -4n + 4n Combine like terms: 2n + 4n = 6n 8 + 6n = -10 + -4n + 4n Combine like terms: -4n + 4n = 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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