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Simplifying 8 + 7(7n + -4) + -1(4 + 6x) + -3 = 0 Reorder the terms: 8 + 7(-4 + 7n) + -1(4 + 6x) + -3 = 0 8 + (-4 * 7 + 7n * 7) + -1(4 + 6x) + -3 = 0 8 + (-28 + 49n) + -1(4 + 6x) + -3 = 0 8 + -28 + 49n + (4 * -1 + 6x * -1) + -3 = 0 8 + -28 + 49n + (-4 + -6x) + -3 = 0 Reorder the terms: 8 + -28 + -4 + -3 + 49n + -6x = 0 Combine like terms: 8 + -28 = -20 -20 + -4 + -3 + 49n + -6x = 0 Combine like terms: -20 + -4 = -24 -24 + -3 + 49n + -6x = 0 Combine like terms: -24 + -3 = -27 -27 + 49n + -6x = 0 Solving -27 + 49n + -6x = 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 + 49n + 27 + -6x = 0 + 27 Reorder the terms: -27 + 27 + 49n + -6x = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 49n + -6x = 0 + 27 49n + -6x = 0 + 27 Combine like terms: 0 + 27 = 27 49n + -6x = 27 Add '6x' to each side of the equation. 49n + -6x + 6x = 27 + 6x Combine like terms: -6x + 6x = 0 49n + 0 = 27 + 6x 49n = 27 + 6x Divide each side by '49'. n = 0.5510204082 + 0.1224489796x Simplifying n = 0.5510204082 + 0.1224489796x
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