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Simplifying -2.2s + -10.34 + 15.9s = 13.8 + 5(2.3s + -12) Reorder the terms: -10.34 + -2.2s + 15.9s = 13.8 + 5(2.3s + -12) Combine like terms: -2.2s + 15.9s = 13.7s -10.34 + 13.7s = 13.8 + 5(2.3s + -12) Reorder the terms: -10.34 + 13.7s = 13.8 + 5(-12 + 2.3s) -10.34 + 13.7s = 13.8 + (-12 * 5 + 2.3s * 5) -10.34 + 13.7s = 13.8 + (-60 + 11.5s) Combine like terms: 13.8 + -60 = -46.2 -10.34 + 13.7s = -46.2 + 11.5s Solving -10.34 + 13.7s = -46.2 + 11.5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-11.5s' to each side of the equation. -10.34 + 13.7s + -11.5s = -46.2 + 11.5s + -11.5s Combine like terms: 13.7s + -11.5s = 2.2s -10.34 + 2.2s = -46.2 + 11.5s + -11.5s Combine like terms: 11.5s + -11.5s = 0.0 -10.34 + 2.2s = -46.2 + 0.0 -10.34 + 2.2s = -46.2 Add '10.34' to each side of the equation. -10.34 + 10.34 + 2.2s = -46.2 + 10.34 Combine like terms: -10.34 + 10.34 = 0.00 0.00 + 2.2s = -46.2 + 10.34 2.2s = -46.2 + 10.34 Combine like terms: -46.2 + 10.34 = -35.86 2.2s = -35.86 Divide each side by '2.2'. s = -16.3 Simplifying s = -16.3
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