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Simplifying 2(2n + -3) + 7(4 + -6n) = 0 Reorder the terms: 2(-3 + 2n) + 7(4 + -6n) = 0 (-3 * 2 + 2n * 2) + 7(4 + -6n) = 0 (-6 + 4n) + 7(4 + -6n) = 0 -6 + 4n + (4 * 7 + -6n * 7) = 0 -6 + 4n + (28 + -42n) = 0 Reorder the terms: -6 + 28 + 4n + -42n = 0 Combine like terms: -6 + 28 = 22 22 + 4n + -42n = 0 Combine like terms: 4n + -42n = -38n 22 + -38n = 0 Solving 22 + -38n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -38n = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -38n = 0 + -22 -38n = 0 + -22 Combine like terms: 0 + -22 = -22 -38n = -22 Divide each side by '-38'. n = 0.5789473684 Simplifying n = 0.5789473684
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