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Simplifying 12(2n + 1) = 10(8s + -1) Reorder the terms: 12(1 + 2n) = 10(8s + -1) (1 * 12 + 2n * 12) = 10(8s + -1) (12 + 24n) = 10(8s + -1) Reorder the terms: 12 + 24n = 10(-1 + 8s) 12 + 24n = (-1 * 10 + 8s * 10) 12 + 24n = (-10 + 80s) Solving 12 + 24n = -10 + 80s Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 24n = -10 + -12 + 80s Combine like terms: 12 + -12 = 0 0 + 24n = -10 + -12 + 80s 24n = -10 + -12 + 80s Combine like terms: -10 + -12 = -22 24n = -22 + 80s Divide each side by '24'. n = -0.9166666667 + 3.333333333s Simplifying n = -0.9166666667 + 3.333333333s
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