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Simplifying 3000 = 1600 + 0.1s + 0.15(s + -5000) Reorder the terms: 3000 = 1600 + 0.1s + 0.15(-5000 + s) 3000 = 1600 + 0.1s + (-5000 * 0.15 + s * 0.15) 3000 = 1600 + 0.1s + (-750 + 0.15s) Reorder the terms: 3000 = 1600 + -750 + 0.1s + 0.15s Combine like terms: 1600 + -750 = 850 3000 = 850 + 0.1s + 0.15s Combine like terms: 0.1s + 0.15s = 0.25s 3000 = 850 + 0.25s Solving 3000 = 850 + 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. 3000 + -0.25s = 850 + 0.25s + -0.25s Combine like terms: 0.25s + -0.25s = 0.00 3000 + -0.25s = 850 + 0.00 3000 + -0.25s = 850 Add '-3000' to each side of the equation. 3000 + -3000 + -0.25s = 850 + -3000 Combine like terms: 3000 + -3000 = 0 0 + -0.25s = 850 + -3000 -0.25s = 850 + -3000 Combine like terms: 850 + -3000 = -2150 -0.25s = -2150 Divide each side by '-0.25'. s = 8600 Simplifying s = 8600
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