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Simplifying 14 + 3n = 8n + -3(n + -14) Reorder the terms: 14 + 3n = 8n + -3(-14 + n) 14 + 3n = 8n + (-14 * -3 + n * -3) 14 + 3n = 8n + (42 + -3n) Reorder the terms: 14 + 3n = 42 + 8n + -3n Combine like terms: 8n + -3n = 5n 14 + 3n = 42 + 5n Solving 14 + 3n = 42 + 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 + 3n + -5n = 42 + 5n + -5n Combine like terms: 3n + -5n = -2n 14 + -2n = 42 + 5n + -5n Combine like terms: 5n + -5n = 0 14 + -2n = 42 + 0 14 + -2n = 42 Add '-14' to each side of the equation. 14 + -14 + -2n = 42 + -14 Combine like terms: 14 + -14 = 0 0 + -2n = 42 + -14 -2n = 42 + -14 Combine like terms: 42 + -14 = 28 -2n = 28 Divide each side by '-2'. n = -14 Simplifying n = -14
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