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Simplifying 3(14 + -1n) + 7 = 5n + 1 (14 * 3 + -1n * 3) + 7 = 5n + 1 (42 + -3n) + 7 = 5n + 1 Reorder the terms: 42 + 7 + -3n = 5n + 1 Combine like terms: 42 + 7 = 49 49 + -3n = 5n + 1 Reorder the terms: 49 + -3n = 1 + 5n Solving 49 + -3n = 1 + 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. 49 + -3n + -5n = 1 + 5n + -5n Combine like terms: -3n + -5n = -8n 49 + -8n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 49 + -8n = 1 + 0 49 + -8n = 1 Add '-49' to each side of the equation. 49 + -49 + -8n = 1 + -49 Combine like terms: 49 + -49 = 0 0 + -8n = 1 + -49 -8n = 1 + -49 Combine like terms: 1 + -49 = -48 -8n = -48 Divide each side by '-8'. n = 6 Simplifying n = 6
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