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Simplifying 4 + 14n + -3 = 5n + 13 + -3n Reorder the terms: 4 + -3 + 14n = 5n + 13 + -3n Combine like terms: 4 + -3 = 1 1 + 14n = 5n + 13 + -3n Reorder the terms: 1 + 14n = 13 + 5n + -3n Combine like terms: 5n + -3n = 2n 1 + 14n = 13 + 2n Solving 1 + 14n = 13 + 2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2n' to each side of the equation. 1 + 14n + -2n = 13 + 2n + -2n Combine like terms: 14n + -2n = 12n 1 + 12n = 13 + 2n + -2n Combine like terms: 2n + -2n = 0 1 + 12n = 13 + 0 1 + 12n = 13 Add '-1' to each side of the equation. 1 + -1 + 12n = 13 + -1 Combine like terms: 1 + -1 = 0 0 + 12n = 13 + -1 12n = 13 + -1 Combine like terms: 13 + -1 = 12 12n = 12 Divide each side by '12'. n = 1 Simplifying n = 1
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