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Simplifying 6n + 13 + -2n = 2n + -3 + 4n Reorder the terms: 13 + 6n + -2n = 2n + -3 + 4n Combine like terms: 6n + -2n = 4n 13 + 4n = 2n + -3 + 4n Reorder the terms: 13 + 4n = -3 + 2n + 4n Combine like terms: 2n + 4n = 6n 13 + 4n = -3 + 6n Solving 13 + 4n = -3 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 13 + 4n + -6n = -3 + 6n + -6n Combine like terms: 4n + -6n = -2n 13 + -2n = -3 + 6n + -6n Combine like terms: 6n + -6n = 0 13 + -2n = -3 + 0 13 + -2n = -3 Add '-13' to each side of the equation. 13 + -13 + -2n = -3 + -13 Combine like terms: 13 + -13 = 0 0 + -2n = -3 + -13 -2n = -3 + -13 Combine like terms: -3 + -13 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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