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Simplifying 6n + -10 = 38 + -10n Reorder the terms: -10 + 6n = 38 + -10n Solving -10 + 6n = 38 + -10n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '10n' to each side of the equation. -10 + 6n + 10n = 38 + -10n + 10n Combine like terms: 6n + 10n = 16n -10 + 16n = 38 + -10n + 10n Combine like terms: -10n + 10n = 0 -10 + 16n = 38 + 0 -10 + 16n = 38 Add '10' to each side of the equation. -10 + 10 + 16n = 38 + 10 Combine like terms: -10 + 10 = 0 0 + 16n = 38 + 10 16n = 38 + 10 Combine like terms: 38 + 10 = 48 16n = 48 Divide each side by '16'. n = 3 Simplifying n = 3
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