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Simplifying -24 + 3n = -3(-7n + -8) + 6n Reorder the terms: -24 + 3n = -3(-8 + -7n) + 6n -24 + 3n = (-8 * -3 + -7n * -3) + 6n -24 + 3n = (24 + 21n) + 6n Combine like terms: 21n + 6n = 27n -24 + 3n = 24 + 27n Solving -24 + 3n = 24 + 27n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-27n' to each side of the equation. -24 + 3n + -27n = 24 + 27n + -27n Combine like terms: 3n + -27n = -24n -24 + -24n = 24 + 27n + -27n Combine like terms: 27n + -27n = 0 -24 + -24n = 24 + 0 -24 + -24n = 24 Add '24' to each side of the equation. -24 + 24 + -24n = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -24n = 24 + 24 -24n = 24 + 24 Combine like terms: 24 + 24 = 48 -24n = 48 Divide each side by '-24'. n = -2 Simplifying n = -2
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