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Simplifying 5n + 2 = -1n + 14 Reorder the terms: 2 + 5n = -1n + 14 Reorder the terms: 2 + 5n = 14 + -1n Solving 2 + 5n = 14 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. 2 + 5n + n = 14 + -1n + n Combine like terms: 5n + n = 6n 2 + 6n = 14 + -1n + n Combine like terms: -1n + n = 0 2 + 6n = 14 + 0 2 + 6n = 14 Add '-2' to each side of the equation. 2 + -2 + 6n = 14 + -2 Combine like terms: 2 + -2 = 0 0 + 6n = 14 + -2 6n = 14 + -2 Combine like terms: 14 + -2 = 12 6n = 12 Divide each side by '6'. n = 2 Simplifying n = 2
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