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Simplifying 14 + -8n = -3(n + 7) Reorder the terms: 14 + -8n = -3(7 + n) 14 + -8n = (7 * -3 + n * -3) 14 + -8n = (-21 + -3n) Solving 14 + -8n = -21 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 14 + -8n + 3n = -21 + -3n + 3n Combine like terms: -8n + 3n = -5n 14 + -5n = -21 + -3n + 3n Combine like terms: -3n + 3n = 0 14 + -5n = -21 + 0 14 + -5n = -21 Add '-14' to each side of the equation. 14 + -14 + -5n = -21 + -14 Combine like terms: 14 + -14 = 0 0 + -5n = -21 + -14 -5n = -21 + -14 Combine like terms: -21 + -14 = -35 -5n = -35 Divide each side by '-5'. n = 7 Simplifying n = 7
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