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Simplifying 4n + 5(3n + -2) + 12 = 0 Reorder the terms: 4n + 5(-2 + 3n) + 12 = 0 4n + (-2 * 5 + 3n * 5) + 12 = 0 4n + (-10 + 15n) + 12 = 0 Reorder the terms: -10 + 12 + 4n + 15n = 0 Combine like terms: -10 + 12 = 2 2 + 4n + 15n = 0 Combine like terms: 4n + 15n = 19n 2 + 19n = 0 Solving 2 + 19n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 19n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 19n = 0 + -2 19n = 0 + -2 Combine like terms: 0 + -2 = -2 19n = -2 Divide each side by '19'. n = -0.1052631579 Simplifying n = -0.1052631579
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