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Simplifying 1.04s + -0.01(894.6 + -1s) = 29.45s 1.04s + (894.6 * -0.01 + -1s * -0.01) = 29.45s 1.04s + (-8.946 + 0.01s) = 29.45s Reorder the terms: -8.946 + 1.04s + 0.01s = 29.45s Combine like terms: 1.04s + 0.01s = 1.05s -8.946 + 1.05s = 29.45s Solving -8.946 + 1.05s = 29.45s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-29.45s' to each side of the equation. -8.946 + 1.05s + -29.45s = 29.45s + -29.45s Combine like terms: 1.05s + -29.45s = -28.4s -8.946 + -28.4s = 29.45s + -29.45s Combine like terms: 29.45s + -29.45s = 0.00 -8.946 + -28.4s = 0.00 Add '8.946' to each side of the equation. -8.946 + 8.946 + -28.4s = 0.00 + 8.946 Combine like terms: -8.946 + 8.946 = 0.000 0.000 + -28.4s = 0.00 + 8.946 -28.4s = 0.00 + 8.946 Combine like terms: 0.00 + 8.946 = 8.946 -28.4s = 8.946 Divide each side by '-28.4'. s = -0.315 Simplifying s = -0.315
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