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Simplifying 25(12 + 4s) + -0.5(10 + 2s) = 0 (12 * 25 + 4s * 25) + -0.5(10 + 2s) = 0 (300 + 100s) + -0.5(10 + 2s) = 0 300 + 100s + (10 * -0.5 + 2s * -0.5) = 0 300 + 100s + (-5 + -1s) = 0 Reorder the terms: 300 + -5 + 100s + -1s = 0 Combine like terms: 300 + -5 = 295 295 + 100s + -1s = 0 Combine like terms: 100s + -1s = 99s 295 + 99s = 0 Solving 295 + 99s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-295' to each side of the equation. 295 + -295 + 99s = 0 + -295 Combine like terms: 295 + -295 = 0 0 + 99s = 0 + -295 99s = 0 + -295 Combine like terms: 0 + -295 = -295 99s = -295 Divide each side by '99'. s = -2.97979798 Simplifying s = -2.97979798
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