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Simplifying 6(3n + -2) = (8n + 7) + 3 Reorder the terms: 6(-2 + 3n) = (8n + 7) + 3 (-2 * 6 + 3n * 6) = (8n + 7) + 3 (-12 + 18n) = (8n + 7) + 3 Reorder the terms: -12 + 18n = (7 + 8n) + 3 Remove parenthesis around (7 + 8n) -12 + 18n = 7 + 8n + 3 Reorder the terms: -12 + 18n = 7 + 3 + 8n Combine like terms: 7 + 3 = 10 -12 + 18n = 10 + 8n Solving -12 + 18n = 10 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. -12 + 18n + -8n = 10 + 8n + -8n Combine like terms: 18n + -8n = 10n -12 + 10n = 10 + 8n + -8n Combine like terms: 8n + -8n = 0 -12 + 10n = 10 + 0 -12 + 10n = 10 Add '12' to each side of the equation. -12 + 12 + 10n = 10 + 12 Combine like terms: -12 + 12 = 0 0 + 10n = 10 + 12 10n = 10 + 12 Combine like terms: 10 + 12 = 22 10n = 22 Divide each side by '10'. n = 2.2 Simplifying n = 2.2
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