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Simplifying 5s + 15(40 + -0.5s) = 550 5s + (40 * 15 + -0.5s * 15) = 550 5s + (600 + -7.5s) = 550 Reorder the terms: 600 + 5s + -7.5s = 550 Combine like terms: 5s + -7.5s = -2.5s 600 + -2.5s = 550 Solving 600 + -2.5s = 550 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-600' to each side of the equation. 600 + -600 + -2.5s = 550 + -600 Combine like terms: 600 + -600 = 0 0 + -2.5s = 550 + -600 -2.5s = 550 + -600 Combine like terms: 550 + -600 = -50 -2.5s = -50 Divide each side by '-2.5'. s = 20 Simplifying s = 20
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