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Simplifying 6(3n + -4) = (8n + 8) + 7 Reorder the terms: 6(-4 + 3n) = (8n + 8) + 7 (-4 * 6 + 3n * 6) = (8n + 8) + 7 (-24 + 18n) = (8n + 8) + 7 Reorder the terms: -24 + 18n = (8 + 8n) + 7 Remove parenthesis around (8 + 8n) -24 + 18n = 8 + 8n + 7 Reorder the terms: -24 + 18n = 8 + 7 + 8n Combine like terms: 8 + 7 = 15 -24 + 18n = 15 + 8n Solving -24 + 18n = 15 + 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. -24 + 18n + -8n = 15 + 8n + -8n Combine like terms: 18n + -8n = 10n -24 + 10n = 15 + 8n + -8n Combine like terms: 8n + -8n = 0 -24 + 10n = 15 + 0 -24 + 10n = 15 Add '24' to each side of the equation. -24 + 24 + 10n = 15 + 24 Combine like terms: -24 + 24 = 0 0 + 10n = 15 + 24 10n = 15 + 24 Combine like terms: 15 + 24 = 39 10n = 39 Divide each side by '10'. n = 3.9 Simplifying n = 3.9
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