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Simplifying 4 + 4n + -1 = 8n + 10 + -3n Reorder the terms: 4 + -1 + 4n = 8n + 10 + -3n Combine like terms: 4 + -1 = 3 3 + 4n = 8n + 10 + -3n Reorder the terms: 3 + 4n = 10 + 8n + -3n Combine like terms: 8n + -3n = 5n 3 + 4n = 10 + 5n Solving 3 + 4n = 10 + 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. 3 + 4n + -5n = 10 + 5n + -5n Combine like terms: 4n + -5n = -1n 3 + -1n = 10 + 5n + -5n Combine like terms: 5n + -5n = 0 3 + -1n = 10 + 0 3 + -1n = 10 Add '-3' to each side of the equation. 3 + -3 + -1n = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -1n = 10 + -3 -1n = 10 + -3 Combine like terms: 10 + -3 = 7 -1n = 7 Divide each side by '-1'. n = -7 Simplifying n = -7
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