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Simplifying 0.4(5 + -1s) = 0.05(6 + -1s) (5 * 0.4 + -1s * 0.4) = 0.05(6 + -1s) (2 + -0.4s) = 0.05(6 + -1s) 2 + -0.4s = (6 * 0.05 + -1s * 0.05) 2 + -0.4s = (0.3 + -0.05s) Solving 2 + -0.4s = 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. 2 + -0.4s + 0.05s = 0.3 + -0.05s + 0.05s Combine like terms: -0.4s + 0.05s = -0.35s 2 + -0.35s = 0.3 + -0.05s + 0.05s Combine like terms: -0.05s + 0.05s = 0.00 2 + -0.35s = 0.3 + 0.00 2 + -0.35s = 0.3 Add '-2' to each side of the equation. 2 + -2 + -0.35s = 0.3 + -2 Combine like terms: 2 + -2 = 0 0 + -0.35s = 0.3 + -2 -0.35s = 0.3 + -2 Combine like terms: 0.3 + -2 = -1.7 -0.35s = -1.7 Divide each side by '-0.35'. s = 4.857142857 Simplifying s = 4.857142857
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