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Simplifying 5s + -1(100 + 2s) + 4s + -2(10 + s) = 0 5s + (100 * -1 + 2s * -1) + 4s + -2(10 + s) = 0 5s + (-100 + -2s) + 4s + -2(10 + s) = 0 5s + -100 + -2s + 4s + (10 * -2 + s * -2) = 0 5s + -100 + -2s + 4s + (-20 + -2s) = 0 Reorder the terms: -100 + -20 + 5s + -2s + 4s + -2s = 0 Combine like terms: -100 + -20 = -120 -120 + 5s + -2s + 4s + -2s = 0 Combine like terms: 5s + -2s = 3s -120 + 3s + 4s + -2s = 0 Combine like terms: 3s + 4s = 7s -120 + 7s + -2s = 0 Combine like terms: 7s + -2s = 5s -120 + 5s = 0 Solving -120 + 5s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '120' to each side of the equation. -120 + 120 + 5s = 0 + 120 Combine like terms: -120 + 120 = 0 0 + 5s = 0 + 120 5s = 0 + 120 Combine like terms: 0 + 120 = 120 5s = 120 Divide each side by '5'. s = 24 Simplifying s = 24
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