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Simplifying -8n + 14 = -3(5n + 7) Reorder the terms: 14 + -8n = -3(5n + 7) Reorder the terms: 14 + -8n = -3(7 + 5n) 14 + -8n = (7 * -3 + 5n * -3) 14 + -8n = (-21 + -15n) Solving 14 + -8n = -21 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 14 + -8n + 15n = -21 + -15n + 15n Combine like terms: -8n + 15n = 7n 14 + 7n = -21 + -15n + 15n Combine like terms: -15n + 15n = 0 14 + 7n = -21 + 0 14 + 7n = -21 Add '-14' to each side of the equation. 14 + -14 + 7n = -21 + -14 Combine like terms: 14 + -14 = 0 0 + 7n = -21 + -14 7n = -21 + -14 Combine like terms: -21 + -14 = -35 7n = -35 Divide each side by '7'. n = -5 Simplifying n = -5
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