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Simplifying 7(7 + -8n) + 2(3n + 1) = -49 (7 * 7 + -8n * 7) + 2(3n + 1) = -49 (49 + -56n) + 2(3n + 1) = -49 Reorder the terms: 49 + -56n + 2(1 + 3n) = -49 49 + -56n + (1 * 2 + 3n * 2) = -49 49 + -56n + (2 + 6n) = -49 Reorder the terms: 49 + 2 + -56n + 6n = -49 Combine like terms: 49 + 2 = 51 51 + -56n + 6n = -49 Combine like terms: -56n + 6n = -50n 51 + -50n = -49 Solving 51 + -50n = -49 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -50n = -49 + -51 Combine like terms: 51 + -51 = 0 0 + -50n = -49 + -51 -50n = -49 + -51 Combine like terms: -49 + -51 = -100 -50n = -100 Divide each side by '-50'. n = 2 Simplifying n = 2
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