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Simplifying 6(n + 8) + -4n = 3n + -27 Reorder the terms: 6(8 + n) + -4n = 3n + -27 (8 * 6 + n * 6) + -4n = 3n + -27 (48 + 6n) + -4n = 3n + -27 Combine like terms: 6n + -4n = 2n 48 + 2n = 3n + -27 Reorder the terms: 48 + 2n = -27 + 3n Solving 48 + 2n = -27 + 3n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-3n' to each side of the equation. 48 + 2n + -3n = -27 + 3n + -3n Combine like terms: 2n + -3n = -1n 48 + -1n = -27 + 3n + -3n Combine like terms: 3n + -3n = 0 48 + -1n = -27 + 0 48 + -1n = -27 Add '-48' to each side of the equation. 48 + -48 + -1n = -27 + -48 Combine like terms: 48 + -48 = 0 0 + -1n = -27 + -48 -1n = -27 + -48 Combine like terms: -27 + -48 = -75 -1n = -75 Divide each side by '-1'. n = 75 Simplifying n = 75
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