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Simplifying 6 + 10n + -5 = 8n + 37 + -2n Reorder the terms: 6 + -5 + 10n = 8n + 37 + -2n Combine like terms: 6 + -5 = 1 1 + 10n = 8n + 37 + -2n Reorder the terms: 1 + 10n = 37 + 8n + -2n Combine like terms: 8n + -2n = 6n 1 + 10n = 37 + 6n Solving 1 + 10n = 37 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 1 + 10n + -6n = 37 + 6n + -6n Combine like terms: 10n + -6n = 4n 1 + 4n = 37 + 6n + -6n Combine like terms: 6n + -6n = 0 1 + 4n = 37 + 0 1 + 4n = 37 Add '-1' to each side of the equation. 1 + -1 + 4n = 37 + -1 Combine like terms: 1 + -1 = 0 0 + 4n = 37 + -1 4n = 37 + -1 Combine like terms: 37 + -1 = 36 4n = 36 Divide each side by '4'. n = 9 Simplifying n = 9
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