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Simplifying 10x + 12 + -9 + -7n + 4n = 31 Reorder the terms: 12 + -9 + -7n + 4n + 10x = 31 Combine like terms: 12 + -9 = 3 3 + -7n + 4n + 10x = 31 Combine like terms: -7n + 4n = -3n 3 + -3n + 10x = 31 Solving 3 + -3n + 10x = 31 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3n + -3 + 10x = 31 + -3 Reorder the terms: 3 + -3 + -3n + 10x = 31 + -3 Combine like terms: 3 + -3 = 0 0 + -3n + 10x = 31 + -3 -3n + 10x = 31 + -3 Combine like terms: 31 + -3 = 28 -3n + 10x = 28 Add '-10x' to each side of the equation. -3n + 10x + -10x = 28 + -10x Combine like terms: 10x + -10x = 0 -3n + 0 = 28 + -10x -3n = 28 + -10x Divide each side by '-3'. n = -9.333333333 + 3.333333333x Simplifying n = -9.333333333 + 3.333333333x
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