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