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Simplifying -157 = -8n + 5(1 + 7n) -157 = -8n + (1 * 5 + 7n * 5) -157 = -8n + (5 + 35n) Reorder the terms: -157 = 5 + -8n + 35n Combine like terms: -8n + 35n = 27n -157 = 5 + 27n Solving -157 = 5 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -157 + -27n = 5 + 27n + -27n Combine like terms: 27n + -27n = 0 -157 + -27n = 5 + 0 -157 + -27n = 5 Add '157' to each side of the equation. -157 + 157 + -27n = 5 + 157 Combine like terms: -157 + 157 = 0 0 + -27n = 5 + 157 -27n = 5 + 157 Combine like terms: 5 + 157 = 162 -27n = 162 Divide each side by '-27'. n = -6 Simplifying n = -6
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