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Simplifying -14 + -5n = -1(-7 + 8n) -14 + -5n = (-7 * -1 + 8n * -1) -14 + -5n = (7 + -8n) Solving -14 + -5n = 7 + -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 + -5n + 8n = 7 + -8n + 8n Combine like terms: -5n + 8n = 3n -14 + 3n = 7 + -8n + 8n Combine like terms: -8n + 8n = 0 -14 + 3n = 7 + 0 -14 + 3n = 7 Add '14' to each side of the equation. -14 + 14 + 3n = 7 + 14 Combine like terms: -14 + 14 = 0 0 + 3n = 7 + 14 3n = 7 + 14 Combine like terms: 7 + 14 = 21 3n = 21 Divide each side by '3'. n = 7 Simplifying n = 7
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