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Simplifying 2(4 + -1n) + 7 = 8n + 39 (4 * 2 + -1n * 2) + 7 = 8n + 39 (8 + -2n) + 7 = 8n + 39 Reorder the terms: 8 + 7 + -2n = 8n + 39 Combine like terms: 8 + 7 = 15 15 + -2n = 8n + 39 Reorder the terms: 15 + -2n = 39 + 8n Solving 15 + -2n = 39 + 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. 15 + -2n + -8n = 39 + 8n + -8n Combine like terms: -2n + -8n = -10n 15 + -10n = 39 + 8n + -8n Combine like terms: 8n + -8n = 0 15 + -10n = 39 + 0 15 + -10n = 39 Add '-15' to each side of the equation. 15 + -15 + -10n = 39 + -15 Combine like terms: 15 + -15 = 0 0 + -10n = 39 + -15 -10n = 39 + -15 Combine like terms: 39 + -15 = 24 -10n = 24 Divide each side by '-10'. n = -2.4 Simplifying n = -2.4
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