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Simplifying 24 + -6n = 8(7n + 3) Reorder the terms: 24 + -6n = 8(3 + 7n) 24 + -6n = (3 * 8 + 7n * 8) 24 + -6n = (24 + 56n) Add '-24' to each side of the equation. 24 + -24 + -6n = 24 + -24 + 56n Combine like terms: 24 + -24 = 0 0 + -6n = 24 + -24 + 56n -6n = 24 + -24 + 56n Combine like terms: 24 + -24 = 0 -6n = 0 + 56n -6n = 56n Solving -6n = 56n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-56n' to each side of the equation. -6n + -56n = 56n + -56n Combine like terms: -6n + -56n = -62n -62n = 56n + -56n Combine like terms: 56n + -56n = 0 -62n = 0 Divide each side by '-62'. n = 0 Simplifying n = 0
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