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Simplifying -1(8 + -4n) + 5(7n + 4) = 0 (8 * -1 + -4n * -1) + 5(7n + 4) = 0 (-8 + 4n) + 5(7n + 4) = 0 Reorder the terms: -8 + 4n + 5(4 + 7n) = 0 -8 + 4n + (4 * 5 + 7n * 5) = 0 -8 + 4n + (20 + 35n) = 0 Reorder the terms: -8 + 20 + 4n + 35n = 0 Combine like terms: -8 + 20 = 12 12 + 4n + 35n = 0 Combine like terms: 4n + 35n = 39n 12 + 39n = 0 Solving 12 + 39n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 39n = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 39n = 0 + -12 39n = 0 + -12 Combine like terms: 0 + -12 = -12 39n = -12 Divide each side by '39'. n = -0.3076923077 Simplifying n = -0.3076923077
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