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Simplifying 2(n + 5) = n + 19 Reorder the terms: 2(5 + n) = n + 19 (5 * 2 + n * 2) = n + 19 (10 + 2n) = n + 19 Reorder the terms: 10 + 2n = 19 + n Solving 10 + 2n = 19 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. 10 + 2n + -1n = 19 + n + -1n Combine like terms: 2n + -1n = 1n 10 + 1n = 19 + n + -1n Combine like terms: n + -1n = 0 10 + 1n = 19 + 0 10 + 1n = 19 Add '-10' to each side of the equation. 10 + -10 + 1n = 19 + -10 Combine like terms: 10 + -10 = 0 0 + 1n = 19 + -10 1n = 19 + -10 Combine like terms: 19 + -10 = 9 1n = 9 Divide each side by '1'. n = 9 Simplifying n = 9
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