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Simplifying 9 + 2n = 19 + -1(6 + 2n) 9 + 2n = 19 + (6 * -1 + 2n * -1) 9 + 2n = 19 + (-6 + -2n) Combine like terms: 19 + -6 = 13 9 + 2n = 13 + -2n Solving 9 + 2n = 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. 9 + 2n + 2n = 13 + -2n + 2n Combine like terms: 2n + 2n = 4n 9 + 4n = 13 + -2n + 2n Combine like terms: -2n + 2n = 0 9 + 4n = 13 + 0 9 + 4n = 13 Add '-9' to each side of the equation. 9 + -9 + 4n = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 4n = 13 + -9 4n = 13 + -9 Combine like terms: 13 + -9 = 4 4n = 4 Divide each side by '4'. n = 1 Simplifying n = 1
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