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Simplifying 6n + 10 = -4n + 50 Reorder the terms: 10 + 6n = -4n + 50 Reorder the terms: 10 + 6n = 50 + -4n Solving 10 + 6n = 50 + -4n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '4n' to each side of the equation. 10 + 6n + 4n = 50 + -4n + 4n Combine like terms: 6n + 4n = 10n 10 + 10n = 50 + -4n + 4n Combine like terms: -4n + 4n = 0 10 + 10n = 50 + 0 10 + 10n = 50 Add '-10' to each side of the equation. 10 + -10 + 10n = 50 + -10 Combine like terms: 10 + -10 = 0 0 + 10n = 50 + -10 10n = 50 + -10 Combine like terms: 50 + -10 = 40 10n = 40 Divide each side by '10'. n = 4 Simplifying n = 4
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