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Simplifying 3(n + 7) + -8 = 1 Reorder the terms: 3(7 + n) + -8 = 1 (7 * 3 + n * 3) + -8 = 1 (21 + 3n) + -8 = 1 Reorder the terms: 21 + -8 + 3n = 1 Combine like terms: 21 + -8 = 13 13 + 3n = 1 Solving 13 + 3n = 1 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 3n = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 3n = 1 + -13 3n = 1 + -13 Combine like terms: 1 + -13 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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