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Simplifying 3(4n + 14) = 10n + -2n + 14 Reorder the terms: 3(14 + 4n) = 10n + -2n + 14 (14 * 3 + 4n * 3) = 10n + -2n + 14 (42 + 12n) = 10n + -2n + 14 Reorder the terms: 42 + 12n = 14 + 10n + -2n Combine like terms: 10n + -2n = 8n 42 + 12n = 14 + 8n Solving 42 + 12n = 14 + 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 + 12n + -8n = 14 + 8n + -8n Combine like terms: 12n + -8n = 4n 42 + 4n = 14 + 8n + -8n Combine like terms: 8n + -8n = 0 42 + 4n = 14 + 0 42 + 4n = 14 Add '-42' to each side of the equation. 42 + -42 + 4n = 14 + -42 Combine like terms: 42 + -42 = 0 0 + 4n = 14 + -42 4n = 14 + -42 Combine like terms: 14 + -42 = -28 4n = -28 Divide each side by '4'. n = -7 Simplifying n = -7
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