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Simplifying -7 + 8n = -7(1 + 5n) -7 + 8n = (1 * -7 + 5n * -7) -7 + 8n = (-7 + -35n) Add '7' to each side of the equation. -7 + 7 + 8n = -7 + 7 + -35n Combine like terms: -7 + 7 = 0 0 + 8n = -7 + 7 + -35n 8n = -7 + 7 + -35n Combine like terms: -7 + 7 = 0 8n = 0 + -35n 8n = -35n Solving 8n = -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. 8n + 35n = -35n + 35n Combine like terms: 8n + 35n = 43n 43n = -35n + 35n Combine like terms: -35n + 35n = 0 43n = 0 Divide each side by '43'. n = 0 Simplifying n = 0
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