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Simplifying -7(n + -1) + 4n = 15 + 5n Reorder the terms: -7(-1 + n) + 4n = 15 + 5n (-1 * -7 + n * -7) + 4n = 15 + 5n (7 + -7n) + 4n = 15 + 5n Combine like terms: -7n + 4n = -3n 7 + -3n = 15 + 5n Solving 7 + -3n = 15 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 7 + -3n + -5n = 15 + 5n + -5n Combine like terms: -3n + -5n = -8n 7 + -8n = 15 + 5n + -5n Combine like terms: 5n + -5n = 0 7 + -8n = 15 + 0 7 + -8n = 15 Add '-7' to each side of the equation. 7 + -7 + -8n = 15 + -7 Combine like terms: 7 + -7 = 0 0 + -8n = 15 + -7 -8n = 15 + -7 Combine like terms: 15 + -7 = 8 -8n = 8 Divide each side by '-8'. n = -1 Simplifying n = -1
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