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Simplifying 7(n + 2) = 2n + 19 Reorder the terms: 7(2 + n) = 2n + 19 (2 * 7 + n * 7) = 2n + 19 (14 + 7n) = 2n + 19 Reorder the terms: 14 + 7n = 19 + 2n Solving 14 + 7n = 19 + 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. 14 + 7n + -2n = 19 + 2n + -2n Combine like terms: 7n + -2n = 5n 14 + 5n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 14 + 5n = 19 + 0 14 + 5n = 19 Add '-14' to each side of the equation. 14 + -14 + 5n = 19 + -14 Combine like terms: 14 + -14 = 0 0 + 5n = 19 + -14 5n = 19 + -14 Combine like terms: 19 + -14 = 5 5n = 5 Divide each side by '5'. n = 1 Simplifying n = 1
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