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Simplifying 6(3n + -7) = 8(n + 1) Reorder the terms: 6(-7 + 3n) = 8(n + 1) (-7 * 6 + 3n * 6) = 8(n + 1) (-42 + 18n) = 8(n + 1) Reorder the terms: -42 + 18n = 8(1 + n) -42 + 18n = (1 * 8 + n * 8) -42 + 18n = (8 + 8n) Solving -42 + 18n = 8 + 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. -42 + 18n + -8n = 8 + 8n + -8n Combine like terms: 18n + -8n = 10n -42 + 10n = 8 + 8n + -8n Combine like terms: 8n + -8n = 0 -42 + 10n = 8 + 0 -42 + 10n = 8 Add '42' to each side of the equation. -42 + 42 + 10n = 8 + 42 Combine like terms: -42 + 42 = 0 0 + 10n = 8 + 42 10n = 8 + 42 Combine like terms: 8 + 42 = 50 10n = 50 Divide each side by '10'. n = 5 Simplifying n = 5
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