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Simplifying 7(-1 + 5n) = -7 + 8n (-1 * 7 + 5n * 7) = -7 + 8n (-7 + 35n) = -7 + 8n Add '7' to each side of the equation. -7 + 7 + 35n = -7 + 7 + 8n Combine like terms: -7 + 7 = 0 0 + 35n = -7 + 7 + 8n 35n = -7 + 7 + 8n Combine like terms: -7 + 7 = 0 35n = 0 + 8n 35n = 8n Solving 35n = 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. 35n + -8n = 8n + -8n Combine like terms: 35n + -8n = 27n 27n = 8n + -8n Combine like terms: 8n + -8n = 0 27n = 0 Divide each side by '27'. n = 0 Simplifying n = 0
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