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Simplifying 8n + 20 = -7(1 + -5n) Reorder the terms: 20 + 8n = -7(1 + -5n) 20 + 8n = (1 * -7 + -5n * -7) 20 + 8n = (-7 + 35n) Solving 20 + 8n = -7 + 35n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-35n' to each side of the equation. 20 + 8n + -35n = -7 + 35n + -35n Combine like terms: 8n + -35n = -27n 20 + -27n = -7 + 35n + -35n Combine like terms: 35n + -35n = 0 20 + -27n = -7 + 0 20 + -27n = -7 Add '-20' to each side of the equation. 20 + -20 + -27n = -7 + -20 Combine like terms: 20 + -20 = 0 0 + -27n = -7 + -20 -27n = -7 + -20 Combine like terms: -7 + -20 = -27 -27n = -27 Divide each side by '-27'. n = 1 Simplifying n = 1
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