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Simplifying 0.04(5 + -1s) = 0.05(6 + -1s) (5 * 0.04 + -1s * 0.04) = 0.05(6 + -1s) (0.2 + -0.04s) = 0.05(6 + -1s) 0.2 + -0.04s = (6 * 0.05 + -1s * 0.05) 0.2 + -0.04s = (0.3 + -0.05s) Solving 0.2 + -0.04s = 0.3 + -0.05s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '0.05s' to each side of the equation. 0.2 + -0.04s + 0.05s = 0.3 + -0.05s + 0.05s Combine like terms: -0.04s + 0.05s = 0.01s 0.2 + 0.01s = 0.3 + -0.05s + 0.05s Combine like terms: -0.05s + 0.05s = 0.00 0.2 + 0.01s = 0.3 + 0.00 0.2 + 0.01s = 0.3 Add '-0.2' to each side of the equation. 0.2 + -0.2 + 0.01s = 0.3 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 0.01s = 0.3 + -0.2 0.01s = 0.3 + -0.2 Combine like terms: 0.3 + -0.2 = 0.1 0.01s = 0.1 Divide each side by '0.01'. s = 10 Simplifying s = 10
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