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Simplifying 7(5n + 7) = -8n + -37 Reorder the terms: 7(7 + 5n) = -8n + -37 (7 * 7 + 5n * 7) = -8n + -37 (49 + 35n) = -8n + -37 Reorder the terms: 49 + 35n = -37 + -8n Solving 49 + 35n = -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 + 35n + 8n = -37 + -8n + 8n Combine like terms: 35n + 8n = 43n 49 + 43n = -37 + -8n + 8n Combine like terms: -8n + 8n = 0 49 + 43n = -37 + 0 49 + 43n = -37 Add '-49' to each side of the equation. 49 + -49 + 43n = -37 + -49 Combine like terms: 49 + -49 = 0 0 + 43n = -37 + -49 43n = -37 + -49 Combine like terms: -37 + -49 = -86 43n = -86 Divide each side by '43'. n = -2 Simplifying n = -2
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