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Simplifying 0.35(s + 0.34) + 0.15s = 0.2s + -1.66 Reorder the terms: 0.35(0.34 + s) + 0.15s = 0.2s + -1.66 (0.34 * 0.35 + s * 0.35) + 0.15s = 0.2s + -1.66 (0.119 + 0.35s) + 0.15s = 0.2s + -1.66 Combine like terms: 0.35s + 0.15s = 0.5s 0.119 + 0.5s = 0.2s + -1.66 Reorder the terms: 0.119 + 0.5s = -1.66 + 0.2s Solving 0.119 + 0.5s = -1.66 + 0.2s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-0.2s' to each side of the equation. 0.119 + 0.5s + -0.2s = -1.66 + 0.2s + -0.2s Combine like terms: 0.5s + -0.2s = 0.3s 0.119 + 0.3s = -1.66 + 0.2s + -0.2s Combine like terms: 0.2s + -0.2s = 0.0 0.119 + 0.3s = -1.66 + 0.0 0.119 + 0.3s = -1.66 Add '-0.119' to each side of the equation. 0.119 + -0.119 + 0.3s = -1.66 + -0.119 Combine like terms: 0.119 + -0.119 = 0.000 0.000 + 0.3s = -1.66 + -0.119 0.3s = -1.66 + -0.119 Combine like terms: -1.66 + -0.119 = -1.779 0.3s = -1.779 Divide each side by '0.3'. s = -5.93 Simplifying s = -5.93
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