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Simplifying 3(s + 0.15) = 4(s + 0.10) Reorder the terms: 3(0.15 + s) = 4(s + 0.10) (0.15 * 3 + s * 3) = 4(s + 0.10) (0.45 + 3s) = 4(s + 0.10) Reorder the terms: 0.45 + 3s = 4(0.10 + s) 0.45 + 3s = (0.10 * 4 + s * 4) 0.45 + 3s = (0.4 + 4s) Solving 0.45 + 3s = 0.4 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. 0.45 + 3s + -4s = 0.4 + 4s + -4s Combine like terms: 3s + -4s = -1s 0.45 + -1s = 0.4 + 4s + -4s Combine like terms: 4s + -4s = 0 0.45 + -1s = 0.4 + 0 0.45 + -1s = 0.4 Add '-0.45' to each side of the equation. 0.45 + -0.45 + -1s = 0.4 + -0.45 Combine like terms: 0.45 + -0.45 = 0.00 0.00 + -1s = 0.4 + -0.45 -1s = 0.4 + -0.45 Combine like terms: 0.4 + -0.45 = -0.05 -1s = -0.05 Divide each side by '-1'. s = 0.05 Simplifying s = 0.05
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