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Simplifying 6 + -3n = 8(3n + -6) Reorder the terms: 6 + -3n = 8(-6 + 3n) 6 + -3n = (-6 * 8 + 3n * 8) 6 + -3n = (-48 + 24n) Solving 6 + -3n = -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. 6 + -3n + -24n = -48 + 24n + -24n Combine like terms: -3n + -24n = -27n 6 + -27n = -48 + 24n + -24n Combine like terms: 24n + -24n = 0 6 + -27n = -48 + 0 6 + -27n = -48 Add '-6' to each side of the equation. 6 + -6 + -27n = -48 + -6 Combine like terms: 6 + -6 = 0 0 + -27n = -48 + -6 -27n = -48 + -6 Combine like terms: -48 + -6 = -54 -27n = -54 Divide each side by '-27'. n = 2 Simplifying n = 2
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