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Simplifying -1n + 27 = 6(4n + -8) Reorder the terms: 27 + -1n = 6(4n + -8) Reorder the terms: 27 + -1n = 6(-8 + 4n) 27 + -1n = (-8 * 6 + 4n * 6) 27 + -1n = (-48 + 24n) Solving 27 + -1n = -48 + 24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-24n' to each side of the equation. 27 + -1n + -24n = -48 + 24n + -24n Combine like terms: -1n + -24n = -25n 27 + -25n = -48 + 24n + -24n Combine like terms: 24n + -24n = 0 27 + -25n = -48 + 0 27 + -25n = -48 Add '-27' to each side of the equation. 27 + -27 + -25n = -48 + -27 Combine like terms: 27 + -27 = 0 0 + -25n = -48 + -27 -25n = -48 + -27 Combine like terms: -48 + -27 = -75 -25n = -75 Divide each side by '-25'. n = 3 Simplifying n = 3
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