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Simplifying 14 + 4n = 8n + -3(n + -6) Reorder the terms: 14 + 4n = 8n + -3(-6 + n) 14 + 4n = 8n + (-6 * -3 + n * -3) 14 + 4n = 8n + (18 + -3n) Reorder the terms: 14 + 4n = 18 + 8n + -3n Combine like terms: 8n + -3n = 5n 14 + 4n = 18 + 5n Solving 14 + 4n = 18 + 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. 14 + 4n + -5n = 18 + 5n + -5n Combine like terms: 4n + -5n = -1n 14 + -1n = 18 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + -1n = 18 + 0 14 + -1n = 18 Add '-14' to each side of the equation. 14 + -14 + -1n = 18 + -14 Combine like terms: 14 + -14 = 0 0 + -1n = 18 + -14 -1n = 18 + -14 Combine like terms: 18 + -14 = 4 -1n = 4 Divide each side by '-1'. n = -4 Simplifying n = -4
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