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Simplifying 8 + -2n + 10 = n + 6 + 3n Reorder the terms: 8 + 10 + -2n = n + 6 + 3n Combine like terms: 8 + 10 = 18 18 + -2n = n + 6 + 3n Reorder the terms: 18 + -2n = 6 + n + 3n Combine like terms: n + 3n = 4n 18 + -2n = 6 + 4n Solving 18 + -2n = 6 + 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. 18 + -2n + -4n = 6 + 4n + -4n Combine like terms: -2n + -4n = -6n 18 + -6n = 6 + 4n + -4n Combine like terms: 4n + -4n = 0 18 + -6n = 6 + 0 18 + -6n = 6 Add '-18' to each side of the equation. 18 + -18 + -6n = 6 + -18 Combine like terms: 18 + -18 = 0 0 + -6n = 6 + -18 -6n = 6 + -18 Combine like terms: 6 + -18 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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