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Simplifying 8(2n + 3) = 10n + -6 + 4n Reorder the terms: 8(3 + 2n) = 10n + -6 + 4n (3 * 8 + 2n * 8) = 10n + -6 + 4n (24 + 16n) = 10n + -6 + 4n Reorder the terms: 24 + 16n = -6 + 10n + 4n Combine like terms: 10n + 4n = 14n 24 + 16n = -6 + 14n Solving 24 + 16n = -6 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 24 + 16n + -14n = -6 + 14n + -14n Combine like terms: 16n + -14n = 2n 24 + 2n = -6 + 14n + -14n Combine like terms: 14n + -14n = 0 24 + 2n = -6 + 0 24 + 2n = -6 Add '-24' to each side of the equation. 24 + -24 + 2n = -6 + -24 Combine like terms: 24 + -24 = 0 0 + 2n = -6 + -24 2n = -6 + -24 Combine like terms: -6 + -24 = -30 2n = -30 Divide each side by '2'. n = -15 Simplifying n = -15
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