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Simplifying 27 + 4n = 6(n + 2) + 3 Reorder the terms: 27 + 4n = 6(2 + n) + 3 27 + 4n = (2 * 6 + n * 6) + 3 27 + 4n = (12 + 6n) + 3 Reorder the terms: 27 + 4n = 12 + 3 + 6n Combine like terms: 12 + 3 = 15 27 + 4n = 15 + 6n Solving 27 + 4n = 15 + 6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-6n' to each side of the equation. 27 + 4n + -6n = 15 + 6n + -6n Combine like terms: 4n + -6n = -2n 27 + -2n = 15 + 6n + -6n Combine like terms: 6n + -6n = 0 27 + -2n = 15 + 0 27 + -2n = 15 Add '-27' to each side of the equation. 27 + -27 + -2n = 15 + -27 Combine like terms: 27 + -27 = 0 0 + -2n = 15 + -27 -2n = 15 + -27 Combine like terms: 15 + -27 = -12 -2n = -12 Divide each side by '-2'. n = 6 Simplifying n = 6
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