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Simplifying 4(1 + 4n) + 7 = 0 (1 * 4 + 4n * 4) + 7 = 0 (4 + 16n) + 7 = 0 Reorder the terms: 4 + 7 + 16n = 0 Combine like terms: 4 + 7 = 11 11 + 16n = 0 Solving 11 + 16n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 16n = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 16n = 0 + -11 16n = 0 + -11 Combine like terms: 0 + -11 = -11 16n = -11 Divide each side by '16'. n = -0.6875 Simplifying n = -0.6875
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