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Simplifying 6n + 16 + 7 = 16n + -35 + 8 Reorder the terms: 16 + 7 + 6n = 16n + -35 + 8 Combine like terms: 16 + 7 = 23 23 + 6n = 16n + -35 + 8 Reorder the terms: 23 + 6n = -35 + 8 + 16n Combine like terms: -35 + 8 = -27 23 + 6n = -27 + 16n Solving 23 + 6n = -27 + 16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-16n' to each side of the equation. 23 + 6n + -16n = -27 + 16n + -16n Combine like terms: 6n + -16n = -10n 23 + -10n = -27 + 16n + -16n Combine like terms: 16n + -16n = 0 23 + -10n = -27 + 0 23 + -10n = -27 Add '-23' to each side of the equation. 23 + -23 + -10n = -27 + -23 Combine like terms: 23 + -23 = 0 0 + -10n = -27 + -23 -10n = -27 + -23 Combine like terms: -27 + -23 = -50 -10n = -50 Divide each side by '-10'. n = 5 Simplifying n = 5
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