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Simplifying 0.35(s + 0.5) + 0.2w = 0.2w(w + -0.4) Reorder the terms: 0.35(0.5 + s) + 0.2w = 0.2w(w + -0.4) (0.5 * 0.35 + s * 0.35) + 0.2w = 0.2w(w + -0.4) (0.175 + 0.35s) + 0.2w = 0.2w(w + -0.4) Reorder the terms: 0.175 + 0.35s + 0.2w = 0.2w(-0.4 + w) 0.175 + 0.35s + 0.2w = (-0.4 * 0.2w + w * 0.2w) 0.175 + 0.35s + 0.2w = (-0.08w + 0.2w2) Solving 0.175 + 0.35s + 0.2w = -0.08w + 0.2w2 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-0.175' to each side of the equation. 0.175 + 0.35s + -0.175 + 0.2w = -0.08w + -0.175 + 0.2w2 Reorder the terms: 0.175 + -0.175 + 0.35s + 0.2w = -0.08w + -0.175 + 0.2w2 Combine like terms: 0.175 + -0.175 = 0.000 0.000 + 0.35s + 0.2w = -0.08w + -0.175 + 0.2w2 0.35s + 0.2w = -0.08w + -0.175 + 0.2w2 Reorder the terms: 0.35s + 0.2w = -0.175 + -0.08w + 0.2w2 Add '-0.2w' to each side of the equation. 0.35s + 0.2w + -0.2w = -0.175 + -0.08w + -0.2w + 0.2w2 Combine like terms: 0.2w + -0.2w = 0.0 0.35s + 0.0 = -0.175 + -0.08w + -0.2w + 0.2w2 0.35s = -0.175 + -0.08w + -0.2w + 0.2w2 Combine like terms: -0.08w + -0.2w = -0.28w 0.35s = -0.175 + -0.28w + 0.2w2 Divide each side by '0.35'. s = -0.5 + -0.8w + 0.5714285714w2 Simplifying s = -0.5 + -0.8w + 0.5714285714w2
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