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Simplifying 3x + -1n + 4 = 2n + 10 Reorder the terms: 4 + -1n + 3x = 2n + 10 Reorder the terms: 4 + -1n + 3x = 10 + 2n Solving 4 + -1n + 3x = 10 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 4 + -1n + -2n + 3x = 10 + 2n + -2n Combine like terms: -1n + -2n = -3n 4 + -3n + 3x = 10 + 2n + -2n Combine like terms: 2n + -2n = 0 4 + -3n + 3x = 10 + 0 4 + -3n + 3x = 10 Add '-4' to each side of the equation. 4 + -3n + -4 + 3x = 10 + -4 Reorder the terms: 4 + -4 + -3n + 3x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + -3n + 3x = 10 + -4 -3n + 3x = 10 + -4 Combine like terms: 10 + -4 = 6 -3n + 3x = 6 Add '-3x' to each side of the equation. -3n + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 -3n + 0 = 6 + -3x -3n = 6 + -3x Divide each side by '-3'. n = -2 + x Simplifying n = -2 + x
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