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Simplifying 3 + -0.5(4 + -1s) = 2 + 0.25(5 + s) 3 + (4 * -0.5 + -1s * -0.5) = 2 + 0.25(5 + s) 3 + (-2 + 0.5s) = 2 + 0.25(5 + s) Combine like terms: 3 + -2 = 1 1 + 0.5s = 2 + 0.25(5 + s) 1 + 0.5s = 2 + (5 * 0.25 + s * 0.25) 1 + 0.5s = 2 + (1.25 + 0.25s) Combine like terms: 2 + 1.25 = 3.25 1 + 0.5s = 3.25 + 0.25s Solving 1 + 0.5s = 3.25 + 0.25s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-0.25s' to each side of the equation. 1 + 0.5s + -0.25s = 3.25 + 0.25s + -0.25s Combine like terms: 0.5s + -0.25s = 0.25s 1 + 0.25s = 3.25 + 0.25s + -0.25s Combine like terms: 0.25s + -0.25s = 0.00 1 + 0.25s = 3.25 + 0.00 1 + 0.25s = 3.25 Add '-1' to each side of the equation. 1 + -1 + 0.25s = 3.25 + -1 Combine like terms: 1 + -1 = 0 0 + 0.25s = 3.25 + -1 0.25s = 3.25 + -1 Combine like terms: 3.25 + -1 = 2.25 0.25s = 2.25 Divide each side by '0.25'. s = 9 Simplifying s = 9
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