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Simplifying 5n + -3n + 10 = -4n + 2 + -7 Reorder the terms: 10 + 5n + -3n = -4n + 2 + -7 Combine like terms: 5n + -3n = 2n 10 + 2n = -4n + 2 + -7 Reorder the terms: 10 + 2n = 2 + -7 + -4n Combine like terms: 2 + -7 = -5 10 + 2n = -5 + -4n Solving 10 + 2n = -5 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 10 + 2n + 4n = -5 + -4n + 4n Combine like terms: 2n + 4n = 6n 10 + 6n = -5 + -4n + 4n Combine like terms: -4n + 4n = 0 10 + 6n = -5 + 0 10 + 6n = -5 Add '-10' to each side of the equation. 10 + -10 + 6n = -5 + -10 Combine like terms: 10 + -10 = 0 0 + 6n = -5 + -10 6n = -5 + -10 Combine like terms: -5 + -10 = -15 6n = -15 Divide each side by '6'. n = -2.5 Simplifying n = -2.5
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