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Simplifying 8(3n + -2) = 10 + -2n Reorder the terms: 8(-2 + 3n) = 10 + -2n (-2 * 8 + 3n * 8) = 10 + -2n (-16 + 24n) = 10 + -2n Solving -16 + 24n = 10 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. -16 + 24n + 2n = 10 + -2n + 2n Combine like terms: 24n + 2n = 26n -16 + 26n = 10 + -2n + 2n Combine like terms: -2n + 2n = 0 -16 + 26n = 10 + 0 -16 + 26n = 10 Add '16' to each side of the equation. -16 + 16 + 26n = 10 + 16 Combine like terms: -16 + 16 = 0 0 + 26n = 10 + 16 26n = 10 + 16 Combine like terms: 10 + 16 = 26 26n = 26 Divide each side by '26'. n = 1 Simplifying n = 1
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