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Simplifying n + 3n + 4 = -6n Reorder the terms: 4 + n + 3n = -6n Combine like terms: n + 3n = 4n 4 + 4n = -6n Solving 4 + 4n = -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 4 + 4n + 6n = -6n + 6n Combine like terms: 4n + 6n = 10n 4 + 10n = -6n + 6n Combine like terms: -6n + 6n = 0 4 + 10n = 0 Add '-4' to each side of the equation. 4 + -4 + 10n = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 10n = 0 + -4 10n = 0 + -4 Combine like terms: 0 + -4 = -4 10n = -4 Divide each side by '10'. n = -0.4 Simplifying n = -0.4
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