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Simplifying 2(n + 74) + 61 = 75 Reorder the terms: 2(74 + n) + 61 = 75 (74 * 2 + n * 2) + 61 = 75 (148 + 2n) + 61 = 75 Reorder the terms: 148 + 61 + 2n = 75 Combine like terms: 148 + 61 = 209 209 + 2n = 75 Solving 209 + 2n = 75 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-209' to each side of the equation. 209 + -209 + 2n = 75 + -209 Combine like terms: 209 + -209 = 0 0 + 2n = 75 + -209 2n = 75 + -209 Combine like terms: 75 + -209 = -134 2n = -134 Divide each side by '2'. n = -67 Simplifying n = -67
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