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Simplifying 5(2n + -7) + 8(n + 6) = 31 Reorder the terms: 5(-7 + 2n) + 8(n + 6) = 31 (-7 * 5 + 2n * 5) + 8(n + 6) = 31 (-35 + 10n) + 8(n + 6) = 31 Reorder the terms: -35 + 10n + 8(6 + n) = 31 -35 + 10n + (6 * 8 + n * 8) = 31 -35 + 10n + (48 + 8n) = 31 Reorder the terms: -35 + 48 + 10n + 8n = 31 Combine like terms: -35 + 48 = 13 13 + 10n + 8n = 31 Combine like terms: 10n + 8n = 18n 13 + 18n = 31 Solving 13 + 18n = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 18n = 31 + -13 Combine like terms: 13 + -13 = 0 0 + 18n = 31 + -13 18n = 31 + -13 Combine like terms: 31 + -13 = 18 18n = 18 Divide each side by '18'. n = 1 Simplifying n = 1
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