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Simplifying 5(2s + 10) = 10(s + 4) + -40s Reorder the terms: 5(10 + 2s) = 10(s + 4) + -40s (10 * 5 + 2s * 5) = 10(s + 4) + -40s (50 + 10s) = 10(s + 4) + -40s Reorder the terms: 50 + 10s = 10(4 + s) + -40s 50 + 10s = (4 * 10 + s * 10) + -40s 50 + 10s = (40 + 10s) + -40s Combine like terms: 10s + -40s = -30s 50 + 10s = 40 + -30s Solving 50 + 10s = 40 + -30s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '30s' to each side of the equation. 50 + 10s + 30s = 40 + -30s + 30s Combine like terms: 10s + 30s = 40s 50 + 40s = 40 + -30s + 30s Combine like terms: -30s + 30s = 0 50 + 40s = 40 + 0 50 + 40s = 40 Add '-50' to each side of the equation. 50 + -50 + 40s = 40 + -50 Combine like terms: 50 + -50 = 0 0 + 40s = 40 + -50 40s = 40 + -50 Combine like terms: 40 + -50 = -10 40s = -10 Divide each side by '40'. s = -0.25 Simplifying s = -0.25
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