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Simplifying -1(-3n + 1) + 4(7 + 4n) = 0 Reorder the terms: -1(1 + -3n) + 4(7 + 4n) = 0 (1 * -1 + -3n * -1) + 4(7 + 4n) = 0 (-1 + 3n) + 4(7 + 4n) = 0 -1 + 3n + (7 * 4 + 4n * 4) = 0 -1 + 3n + (28 + 16n) = 0 Reorder the terms: -1 + 28 + 3n + 16n = 0 Combine like terms: -1 + 28 = 27 27 + 3n + 16n = 0 Combine like terms: 3n + 16n = 19n 27 + 19n = 0 Solving 27 + 19n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 19n = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 19n = 0 + -27 19n = 0 + -27 Combine like terms: 0 + -27 = -27 19n = -27 Divide each side by '19'. n = -1.421052632 Simplifying n = -1.421052632
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