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Simplifying 7(n + 7) = 19 + 2n Reorder the terms: 7(7 + n) = 19 + 2n (7 * 7 + n * 7) = 19 + 2n (49 + 7n) = 19 + 2n Solving 49 + 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. 49 + 7n + -2n = 19 + 2n + -2n Combine like terms: 7n + -2n = 5n 49 + 5n = 19 + 2n + -2n Combine like terms: 2n + -2n = 0 49 + 5n = 19 + 0 49 + 5n = 19 Add '-49' to each side of the equation. 49 + -49 + 5n = 19 + -49 Combine like terms: 49 + -49 = 0 0 + 5n = 19 + -49 5n = 19 + -49 Combine like terms: 19 + -49 = -30 5n = -30 Divide each side by '5'. n = -6 Simplifying n = -6
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