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Simplifying 5n = 2n + -42 + -3n Reorder the terms: 5n = -42 + 2n + -3n Combine like terms: 2n + -3n = -1n 5n = -42 + -1n Solving 5n = -42 + -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. 5n + n = -42 + -1n + n Combine like terms: 5n + n = 6n 6n = -42 + -1n + n Combine like terms: -1n + n = 0 6n = -42 + 0 6n = -42 Divide each side by '6'. n = -7 Simplifying n = -7
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