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Simplifying 0.66666667(9s + -1.5) = s(0.45 + 5) + 1.2 Reorder the terms: 0.66666667(-1.5 + 9s) = s(0.45 + 5) + 1.2 (-1.5 * 0.66666667 + 9s * 0.66666667) = s(0.45 + 5) + 1.2 (-1.000000005 + 6.00000003s) = s(0.45 + 5) + 1.2 Combine like terms: 0.45 + 5 = 5.45 -1.000000005 + 6.00000003s = s(5.45) + 1.2 Reorder the terms for easier multiplication: -1.000000005 + 6.00000003s = 5.45s + 1.2 Reorder the terms: -1.000000005 + 6.00000003s = 1.2 + 5.45s Solving -1.000000005 + 6.00000003s = 1.2 + 5.45s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5.45s' to each side of the equation. -1.000000005 + 6.00000003s + -5.45s = 1.2 + 5.45s + -5.45s Combine like terms: 6.00000003s + -5.45s = 0.55000003s -1.000000005 + 0.55000003s = 1.2 + 5.45s + -5.45s Combine like terms: 5.45s + -5.45s = 0.00 -1.000000005 + 0.55000003s = 1.2 + 0.00 -1.000000005 + 0.55000003s = 1.2 Add '1.000000005' to each side of the equation. -1.000000005 + 1.000000005 + 0.55000003s = 1.2 + 1.000000005 Combine like terms: -1.000000005 + 1.000000005 = 0.000000000 0.000000000 + 0.55000003s = 1.2 + 1.000000005 0.55000003s = 1.2 + 1.000000005 Combine like terms: 1.2 + 1.000000005 = 2.200000005 0.55000003s = 2.200000005 Divide each side by '0.55000003'. s = 3.999999791 Simplifying s = 3.999999791
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