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Simplifying 0.3s + 0.8(S + -12) = 33.3 Reorder the terms: 0.3s + 0.8(-12 + S) = 33.3 0.3s + (-12 * 0.8 + S * 0.8) = 33.3 0.3s + (-9.6 + 0.8S) = 33.3 Reorder the terms: -9.6 + 0.8S + 0.3s = 33.3 Solving -9.6 + 0.8S + 0.3s = 33.3 Solving for variable 'S'. Move all terms containing S to the left, all other terms to the right. Add '9.6' to each side of the equation. -9.6 + 0.8S + 9.6 + 0.3s = 33.3 + 9.6 Reorder the terms: -9.6 + 9.6 + 0.8S + 0.3s = 33.3 + 9.6 Combine like terms: -9.6 + 9.6 = 0.0 0.0 + 0.8S + 0.3s = 33.3 + 9.6 0.8S + 0.3s = 33.3 + 9.6 Combine like terms: 33.3 + 9.6 = 42.9 0.8S + 0.3s = 42.9 Add '-0.3s' to each side of the equation. 0.8S + 0.3s + -0.3s = 42.9 + -0.3s Combine like terms: 0.3s + -0.3s = 0.0 0.8S + 0.0 = 42.9 + -0.3s 0.8S = 42.9 + -0.3s Divide each side by '0.8'. S = 53.625 + -0.375s Simplifying S = 53.625 + -0.375s
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