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Simplifying 5 + 6S + -4 = 8S + 25 + -6S Reorder the terms: 5 + -4 + 6S = 8S + 25 + -6S Combine like terms: 5 + -4 = 1 1 + 6S = 8S + 25 + -6S Reorder the terms: 1 + 6S = 25 + 8S + -6S Combine like terms: 8S + -6S = 2S 1 + 6S = 25 + 2S Solving 1 + 6S = 25 + 2S Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-2S' to each side of the equation. 1 + 6S + -2S = 25 + 2S + -2S Combine like terms: 6S + -2S = 4S 1 + 4S = 25 + 2S + -2S Combine like terms: 2S + -2S = 0 1 + 4S = 25 + 0 1 + 4S = 25 Add '-1' to each side of the equation. 1 + -1 + 4S = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 4S = 25 + -1 4S = 25 + -1 Combine like terms: 25 + -1 = 24 4S = 24 Divide each side by '4'. S = 6 Simplifying S = 6
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