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Simplifying 7(7 + -2n) = -8n + 37 (7 * 7 + -2n * 7) = -8n + 37 (49 + -14n) = -8n + 37 Reorder the terms: 49 + -14n = 37 + -8n Solving 49 + -14n = 37 + -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. 49 + -14n + 8n = 37 + -8n + 8n Combine like terms: -14n + 8n = -6n 49 + -6n = 37 + -8n + 8n Combine like terms: -8n + 8n = 0 49 + -6n = 37 + 0 49 + -6n = 37 Add '-49' to each side of the equation. 49 + -49 + -6n = 37 + -49 Combine like terms: 49 + -49 = 0 0 + -6n = 37 + -49 -6n = 37 + -49 Combine like terms: 37 + -49 = -12 -6n = -12 Divide each side by '-6'. n = 2 Simplifying n = 2
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