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Simplifying 5n + -4 + -2n = 4n + 12 + 3n Reorder the terms: -4 + 5n + -2n = 4n + 12 + 3n Combine like terms: 5n + -2n = 3n -4 + 3n = 4n + 12 + 3n Reorder the terms: -4 + 3n = 12 + 4n + 3n Combine like terms: 4n + 3n = 7n -4 + 3n = 12 + 7n Solving -4 + 3n = 12 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -4 + 3n + -7n = 12 + 7n + -7n Combine like terms: 3n + -7n = -4n -4 + -4n = 12 + 7n + -7n Combine like terms: 7n + -7n = 0 -4 + -4n = 12 + 0 -4 + -4n = 12 Add '4' to each side of the equation. -4 + 4 + -4n = 12 + 4 Combine like terms: -4 + 4 = 0 0 + -4n = 12 + 4 -4n = 12 + 4 Combine like terms: 12 + 4 = 16 -4n = 16 Divide each side by '-4'. n = -4 Simplifying n = -4
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