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Simplifying 8 + 19n + -6 = 6n + 92 + -2n Reorder the terms: 8 + -6 + 19n = 6n + 92 + -2n Combine like terms: 8 + -6 = 2 2 + 19n = 6n + 92 + -2n Reorder the terms: 2 + 19n = 92 + 6n + -2n Combine like terms: 6n + -2n = 4n 2 + 19n = 92 + 4n Solving 2 + 19n = 92 + 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. 2 + 19n + -4n = 92 + 4n + -4n Combine like terms: 19n + -4n = 15n 2 + 15n = 92 + 4n + -4n Combine like terms: 4n + -4n = 0 2 + 15n = 92 + 0 2 + 15n = 92 Add '-2' to each side of the equation. 2 + -2 + 15n = 92 + -2 Combine like terms: 2 + -2 = 0 0 + 15n = 92 + -2 15n = 92 + -2 Combine like terms: 92 + -2 = 90 15n = 90 Divide each side by '15'. n = 6 Simplifying n = 6
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