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Simplifying 6n + 3 + -4n = 4n + 5 Reorder the terms: 3 + 6n + -4n = 4n + 5 Combine like terms: 6n + -4n = 2n 3 + 2n = 4n + 5 Reorder the terms: 3 + 2n = 5 + 4n Solving 3 + 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. 3 + 2n + -4n = 5 + 4n + -4n Combine like terms: 2n + -4n = -2n 3 + -2n = 5 + 4n + -4n Combine like terms: 4n + -4n = 0 3 + -2n = 5 + 0 3 + -2n = 5 Add '-3' to each side of the equation. 3 + -3 + -2n = 5 + -3 Combine like terms: 3 + -3 = 0 0 + -2n = 5 + -3 -2n = 5 + -3 Combine like terms: 5 + -3 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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