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Simplifying 0.40(s + -6) = 0.30(2s + 5) Reorder the terms: 0.40(-6 + s) = 0.30(2s + 5) (-6 * 0.40 + s * 0.40) = 0.30(2s + 5) (-2.4 + 0.40s) = 0.30(2s + 5) Reorder the terms: -2.4 + 0.40s = 0.30(5 + 2s) -2.4 + 0.40s = (5 * 0.30 + 2s * 0.30) -2.4 + 0.40s = (1.5 + 0.6s) Solving -2.4 + 0.40s = 1.5 + 0.6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-0.6s' to each side of the equation. -2.4 + 0.40s + -0.6s = 1.5 + 0.6s + -0.6s Combine like terms: 0.40s + -0.6s = -0.2s -2.4 + -0.2s = 1.5 + 0.6s + -0.6s Combine like terms: 0.6s + -0.6s = 0.0 -2.4 + -0.2s = 1.5 + 0.0 -2.4 + -0.2s = 1.5 Add '2.4' to each side of the equation. -2.4 + 2.4 + -0.2s = 1.5 + 2.4 Combine like terms: -2.4 + 2.4 = 0.0 0.0 + -0.2s = 1.5 + 2.4 -0.2s = 1.5 + 2.4 Combine like terms: 1.5 + 2.4 = 3.9 -0.2s = 3.9 Divide each side by '-0.2'. s = -19.5 Simplifying s = -19.5
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