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Simplifying -4n + -5 + 3 = 6n + 4 + 14 Reorder the terms: -5 + 3 + -4n = 6n + 4 + 14 Combine like terms: -5 + 3 = -2 -2 + -4n = 6n + 4 + 14 Reorder the terms: -2 + -4n = 4 + 14 + 6n Combine like terms: 4 + 14 = 18 -2 + -4n = 18 + 6n Solving -2 + -4n = 18 + 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. -2 + -4n + -6n = 18 + 6n + -6n Combine like terms: -4n + -6n = -10n -2 + -10n = 18 + 6n + -6n Combine like terms: 6n + -6n = 0 -2 + -10n = 18 + 0 -2 + -10n = 18 Add '2' to each side of the equation. -2 + 2 + -10n = 18 + 2 Combine like terms: -2 + 2 = 0 0 + -10n = 18 + 2 -10n = 18 + 2 Combine like terms: 18 + 2 = 20 -10n = 20 Divide each side by '-10'. n = -2 Simplifying n = -2
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