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Simplifying 0.25(4s + -2) + 2 = 0.25(3s + -9) Reorder the terms: 0.25(-2 + 4s) + 2 = 0.25(3s + -9) (-2 * 0.25 + 4s * 0.25) + 2 = 0.25(3s + -9) (-0.5 + 1s) + 2 = 0.25(3s + -9) Reorder the terms: -0.5 + 2 + 1s = 0.25(3s + -9) Combine like terms: -0.5 + 2 = 1.5 1.5 + 1s = 0.25(3s + -9) Reorder the terms: 1.5 + 1s = 0.25(-9 + 3s) 1.5 + 1s = (-9 * 0.25 + 3s * 0.25) 1.5 + 1s = (-2.25 + 0.75s) Solving 1.5 + 1s = -2.25 + 0.75s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-0.75s' to each side of the equation. 1.5 + 1s + -0.75s = -2.25 + 0.75s + -0.75s Combine like terms: 1s + -0.75s = 0.25s 1.5 + 0.25s = -2.25 + 0.75s + -0.75s Combine like terms: 0.75s + -0.75s = 0.00 1.5 + 0.25s = -2.25 + 0.00 1.5 + 0.25s = -2.25 Add '-1.5' to each side of the equation. 1.5 + -1.5 + 0.25s = -2.25 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + 0.25s = -2.25 + -1.5 0.25s = -2.25 + -1.5 Combine like terms: -2.25 + -1.5 = -3.75 0.25s = -3.75 Divide each side by '0.25'. s = -15 Simplifying s = -15
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