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Simplifying 6 + 2(3n + -2) + 4n = 0 Reorder the terms: 6 + 2(-2 + 3n) + 4n = 0 6 + (-2 * 2 + 3n * 2) + 4n = 0 6 + (-4 + 6n) + 4n = 0 Combine like terms: 6 + -4 = 2 2 + 6n + 4n = 0 Combine like terms: 6n + 4n = 10n 2 + 10n = 0 Solving 2 + 10n = 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 + 10n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 10n = 0 + -2 10n = 0 + -2 Combine like terms: 0 + -2 = -2 10n = -2 Divide each side by '10'. n = -0.2 Simplifying n = -0.2
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