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Simplifying 7n + -19 = 3n + 1 Reorder the terms: -19 + 7n = 3n + 1 Reorder the terms: -19 + 7n = 1 + 3n Solving -19 + 7n = 1 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. -19 + 7n + -3n = 1 + 3n + -3n Combine like terms: 7n + -3n = 4n -19 + 4n = 1 + 3n + -3n Combine like terms: 3n + -3n = 0 -19 + 4n = 1 + 0 -19 + 4n = 1 Add '19' to each side of the equation. -19 + 19 + 4n = 1 + 19 Combine like terms: -19 + 19 = 0 0 + 4n = 1 + 19 4n = 1 + 19 Combine like terms: 1 + 19 = 20 4n = 20 Divide each side by '4'. n = 5 Simplifying n = 5
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