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Simplifying 13n + 4n + 2n + -7n + -5n + -2 = 19 Reorder the terms: -2 + 13n + 4n + 2n + -7n + -5n = 19 Combine like terms: 13n + 4n = 17n -2 + 17n + 2n + -7n + -5n = 19 Combine like terms: 17n + 2n = 19n -2 + 19n + -7n + -5n = 19 Combine like terms: 19n + -7n = 12n -2 + 12n + -5n = 19 Combine like terms: 12n + -5n = 7n -2 + 7n = 19 Solving -2 + 7n = 19 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 7n = 19 + 2 Combine like terms: -2 + 2 = 0 0 + 7n = 19 + 2 7n = 19 + 2 Combine like terms: 19 + 2 = 21 7n = 21 Divide each side by '7'. n = 3 Simplifying n = 3
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