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Simplifying 6n + -17 = 47 + 10n Reorder the terms: -17 + 6n = 47 + 10n Solving -17 + 6n = 47 + 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. -17 + 6n + -10n = 47 + 10n + -10n Combine like terms: 6n + -10n = -4n -17 + -4n = 47 + 10n + -10n Combine like terms: 10n + -10n = 0 -17 + -4n = 47 + 0 -17 + -4n = 47 Add '17' to each side of the equation. -17 + 17 + -4n = 47 + 17 Combine like terms: -17 + 17 = 0 0 + -4n = 47 + 17 -4n = 47 + 17 Combine like terms: 47 + 17 = 64 -4n = 64 Divide each side by '-4'. n = -16 Simplifying n = -16
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