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Simplifying 33.7 + -1(1.5s + 2.3) = 3.4s + -1(0.4 + -5.7s) Reorder the terms: 33.7 + -1(2.3 + 1.5s) = 3.4s + -1(0.4 + -5.7s) 33.7 + (2.3 * -1 + 1.5s * -1) = 3.4s + -1(0.4 + -5.7s) 33.7 + (-2.3 + -1.5s) = 3.4s + -1(0.4 + -5.7s) Combine like terms: 33.7 + -2.3 = 31.4 31.4 + -1.5s = 3.4s + -1(0.4 + -5.7s) 31.4 + -1.5s = 3.4s + (0.4 * -1 + -5.7s * -1) 31.4 + -1.5s = 3.4s + (-0.4 + 5.7s) Reorder the terms: 31.4 + -1.5s = -0.4 + 3.4s + 5.7s Combine like terms: 3.4s + 5.7s = 9.1s 31.4 + -1.5s = -0.4 + 9.1s Solving 31.4 + -1.5s = -0.4 + 9.1s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-9.1s' to each side of the equation. 31.4 + -1.5s + -9.1s = -0.4 + 9.1s + -9.1s Combine like terms: -1.5s + -9.1s = -10.6s 31.4 + -10.6s = -0.4 + 9.1s + -9.1s Combine like terms: 9.1s + -9.1s = 0.0 31.4 + -10.6s = -0.4 + 0.0 31.4 + -10.6s = -0.4 Add '-31.4' to each side of the equation. 31.4 + -31.4 + -10.6s = -0.4 + -31.4 Combine like terms: 31.4 + -31.4 = 0.0 0.0 + -10.6s = -0.4 + -31.4 -10.6s = -0.4 + -31.4 Combine like terms: -0.4 + -31.4 = -31.8 -10.6s = -31.8 Divide each side by '-10.6'. s = 3 Simplifying s = 3
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