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Simplifying 5S + 10 = 9S + 12 Reorder the terms: 10 + 5S = 9S + 12 Reorder the terms: 10 + 5S = 12 + 9S Solving 10 + 5S = 12 + 9S Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '-9S' to each side of the equation. 10 + 5S + -9S = 12 + 9S + -9S Combine like terms: 5S + -9S = -4S 10 + -4S = 12 + 9S + -9S Combine like terms: 9S + -9S = 0 10 + -4S = 12 + 0 10 + -4S = 12 Add '-10' to each side of the equation. 10 + -10 + -4S = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -4S = 12 + -10 -4S = 12 + -10 Combine like terms: 12 + -10 = 2 -4S = 2 Divide each side by '-4'. S = -0.5 Simplifying S = -0.5
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