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Simplifying 13 + 4n = 7n + 1 Reorder the terms: 13 + 4n = 1 + 7n Solving 13 + 4n = 1 + 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. 13 + 4n + -7n = 1 + 7n + -7n Combine like terms: 4n + -7n = -3n 13 + -3n = 1 + 7n + -7n Combine like terms: 7n + -7n = 0 13 + -3n = 1 + 0 13 + -3n = 1 Add '-13' to each side of the equation. 13 + -13 + -3n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -3n = 1 + -13 -3n = 1 + -13 Combine like terms: 1 + -13 = -12 -3n = -12 Divide each side by '-3'. n = 4 Simplifying n = 4
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