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Simplifying 6n + 10 = 2n + -8 Reorder the terms: 10 + 6n = 2n + -8 Reorder the terms: 10 + 6n = -8 + 2n Solving 10 + 6n = -8 + 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. 10 + 6n + -2n = -8 + 2n + -2n Combine like terms: 6n + -2n = 4n 10 + 4n = -8 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 4n = -8 + 0 10 + 4n = -8 Add '-10' to each side of the equation. 10 + -10 + 4n = -8 + -10 Combine like terms: 10 + -10 = 0 0 + 4n = -8 + -10 4n = -8 + -10 Combine like terms: -8 + -10 = -18 4n = -18 Divide each side by '4'. n = -4.5 Simplifying n = -4.5
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