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Simplifying n + 13 = 5n + 1 Reorder the terms: 13 + n = 5n + 1 Reorder the terms: 13 + n = 1 + 5n Solving 13 + n = 1 + 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 + n + -5n = 1 + 5n + -5n Combine like terms: n + -5n = -4n 13 + -4n = 1 + 5n + -5n Combine like terms: 5n + -5n = 0 13 + -4n = 1 + 0 13 + -4n = 1 Add '-13' to each side of the equation. 13 + -13 + -4n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + -4n = 1 + -13 -4n = 1 + -13 Combine like terms: 1 + -13 = -12 -4n = -12 Divide each side by '-4'. n = 3 Simplifying n = 3
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