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Simplifying 27 + 6n = 4(4n + -5) + -3 Reorder the terms: 27 + 6n = 4(-5 + 4n) + -3 27 + 6n = (-5 * 4 + 4n * 4) + -3 27 + 6n = (-20 + 16n) + -3 Reorder the terms: 27 + 6n = -20 + -3 + 16n Combine like terms: -20 + -3 = -23 27 + 6n = -23 + 16n Solving 27 + 6n = -23 + 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. 27 + 6n + -16n = -23 + 16n + -16n Combine like terms: 6n + -16n = -10n 27 + -10n = -23 + 16n + -16n Combine like terms: 16n + -16n = 0 27 + -10n = -23 + 0 27 + -10n = -23 Add '-27' to each side of the equation. 27 + -27 + -10n = -23 + -27 Combine like terms: 27 + -27 = 0 0 + -10n = -23 + -27 -10n = -23 + -27 Combine like terms: -23 + -27 = -50 -10n = -50 Divide each side by '-10'. n = 5 Simplifying n = 5
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