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Simplifying 6n + 8 = 4n + -5 + 6n + -3 Reorder the terms: 8 + 6n = 4n + -5 + 6n + -3 Reorder the terms: 8 + 6n = -5 + -3 + 4n + 6n Combine like terms: -5 + -3 = -8 8 + 6n = -8 + 4n + 6n Combine like terms: 4n + 6n = 10n 8 + 6n = -8 + 10n Solving 8 + 6n = -8 + 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. 8 + 6n + -10n = -8 + 10n + -10n Combine like terms: 6n + -10n = -4n 8 + -4n = -8 + 10n + -10n Combine like terms: 10n + -10n = 0 8 + -4n = -8 + 0 8 + -4n = -8 Add '-8' to each side of the equation. 8 + -8 + -4n = -8 + -8 Combine like terms: 8 + -8 = 0 0 + -4n = -8 + -8 -4n = -8 + -8 Combine like terms: -8 + -8 = -16 -4n = -16 Divide each side by '-4'. n = 4 Simplifying n = 4
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