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Simplifying 3(n + 4) + -2(n) = 38 Reorder the terms: 3(4 + n) + -2(n) = 38 (4 * 3 + n * 3) + -2(n) = 38 (12 + 3n) + -2(n) = 38 Combine like terms: 3n + -2n = 1n 12 + 1n = 38 Solving 12 + 1n = 38 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 1n = 38 + -12 Combine like terms: 12 + -12 = 0 0 + 1n = 38 + -12 1n = 38 + -12 Combine like terms: 38 + -12 = 26 1n = 26 Divide each side by '1'. n = 26 Simplifying n = 26
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