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Simplifying -5.2(2 + -1n) + 7(x + 1) = 0 (2 * -5.2 + -1n * -5.2) + 7(x + 1) = 0 (-10.4 + 5.2n) + 7(x + 1) = 0 Reorder the terms: -10.4 + 5.2n + 7(1 + x) = 0 -10.4 + 5.2n + (1 * 7 + x * 7) = 0 -10.4 + 5.2n + (7 + 7x) = 0 Reorder the terms: -10.4 + 7 + 5.2n + 7x = 0 Combine like terms: -10.4 + 7 = -3.4 -3.4 + 5.2n + 7x = 0 Solving -3.4 + 5.2n + 7x = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '3.4' to each side of the equation. -3.4 + 5.2n + 3.4 + 7x = 0 + 3.4 Reorder the terms: -3.4 + 3.4 + 5.2n + 7x = 0 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 5.2n + 7x = 0 + 3.4 5.2n + 7x = 0 + 3.4 Combine like terms: 0 + 3.4 = 3.4 5.2n + 7x = 3.4 Add '-7x' to each side of the equation. 5.2n + 7x + -7x = 3.4 + -7x Combine like terms: 7x + -7x = 0 5.2n + 0 = 3.4 + -7x 5.2n = 3.4 + -7x Divide each side by '5.2'. n = 0.6538461538 + -1.346153846x Simplifying n = 0.6538461538 + -1.346153846x
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