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Simplifying 0.3(s + 0.34) + 0.15s = 0.2s + -1.779 Reorder the terms: 0.3(0.34 + s) + 0.15s = 0.2s + -1.779 (0.34 * 0.3 + s * 0.3) + 0.15s = 0.2s + -1.779 (0.102 + 0.3s) + 0.15s = 0.2s + -1.779 Combine like terms: 0.3s + 0.15s = 0.45s 0.102 + 0.45s = 0.2s + -1.779 Reorder the terms: 0.102 + 0.45s = -1.779 + 0.2s Solving 0.102 + 0.45s = -1.779 + 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. 0.102 + 0.45s + -0.2s = -1.779 + 0.2s + -0.2s Combine like terms: 0.45s + -0.2s = 0.25s 0.102 + 0.25s = -1.779 + 0.2s + -0.2s Combine like terms: 0.2s + -0.2s = 0.0 0.102 + 0.25s = -1.779 + 0.0 0.102 + 0.25s = -1.779 Add '-0.102' to each side of the equation. 0.102 + -0.102 + 0.25s = -1.779 + -0.102 Combine like terms: 0.102 + -0.102 = 0.000 0.000 + 0.25s = -1.779 + -0.102 0.25s = -1.779 + -0.102 Combine like terms: -1.779 + -0.102 = -1.881 0.25s = -1.881 Divide each side by '0.25'. s = -7.524 Simplifying s = -7.524
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