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Simplifying 7 + 5n = -1(3n + 1) Reorder the terms: 7 + 5n = -1(1 + 3n) 7 + 5n = (1 * -1 + 3n * -1) 7 + 5n = (-1 + -3n) Solving 7 + 5n = -1 + -3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3n' to each side of the equation. 7 + 5n + 3n = -1 + -3n + 3n Combine like terms: 5n + 3n = 8n 7 + 8n = -1 + -3n + 3n Combine like terms: -3n + 3n = 0 7 + 8n = -1 + 0 7 + 8n = -1 Add '-7' to each side of the equation. 7 + -7 + 8n = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 8n = -1 + -7 8n = -1 + -7 Combine like terms: -1 + -7 = -8 8n = -8 Divide each side by '8'. n = -1 Simplifying n = -1
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