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Simplifying 13 + 3n = 5n + -6 Reorder the terms: 13 + 3n = -6 + 5n Solving 13 + 3n = -6 + 5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-5n' to each side of the equation. 13 + 3n + -5n = -6 + 5n + -5n Combine like terms: 3n + -5n = -2n 13 + -2n = -6 + 5n + -5n Combine like terms: 5n + -5n = 0 13 + -2n = -6 + 0 13 + -2n = -6 Add '-13' to each side of the equation. 13 + -13 + -2n = -6 + -13 Combine like terms: 13 + -13 = 0 0 + -2n = -6 + -13 -2n = -6 + -13 Combine like terms: -6 + -13 = -19 -2n = -19 Divide each side by '-2'. n = 9.5 Simplifying n = 9.5
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