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Simplifying 14 + -2n = 8(n + 4) Reorder the terms: 14 + -2n = 8(4 + n) 14 + -2n = (4 * 8 + n * 8) 14 + -2n = (32 + 8n) Solving 14 + -2n = 32 + 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. 14 + -2n + -8n = 32 + 8n + -8n Combine like terms: -2n + -8n = -10n 14 + -10n = 32 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -10n = 32 + 0 14 + -10n = 32 Add '-14' to each side of the equation. 14 + -14 + -10n = 32 + -14 Combine like terms: 14 + -14 = 0 0 + -10n = 32 + -14 -10n = 32 + -14 Combine like terms: 32 + -14 = 18 -10n = 18 Divide each side by '-10'. n = -1.8 Simplifying n = -1.8
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