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Simplifying 39 + -7n = -8n + -1(1 + 7n) 39 + -7n = -8n + (1 * -1 + 7n * -1) 39 + -7n = -8n + (-1 + -7n) Reorder the terms: 39 + -7n = -1 + -8n + -7n Combine like terms: -8n + -7n = -15n 39 + -7n = -1 + -15n Solving 39 + -7n = -1 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. 39 + -7n + 15n = -1 + -15n + 15n Combine like terms: -7n + 15n = 8n 39 + 8n = -1 + -15n + 15n Combine like terms: -15n + 15n = 0 39 + 8n = -1 + 0 39 + 8n = -1 Add '-39' to each side of the equation. 39 + -39 + 8n = -1 + -39 Combine like terms: 39 + -39 = 0 0 + 8n = -1 + -39 8n = -1 + -39 Combine like terms: -1 + -39 = -40 8n = -40 Divide each side by '8'. n = -5 Simplifying n = -5
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