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Simplifying 5s + -1(100 + 2s) = 4s + -2(10 + 2s) 5s + (100 * -1 + 2s * -1) = 4s + -2(10 + 2s) 5s + (-100 + -2s) = 4s + -2(10 + 2s) Reorder the terms: -100 + 5s + -2s = 4s + -2(10 + 2s) Combine like terms: 5s + -2s = 3s -100 + 3s = 4s + -2(10 + 2s) -100 + 3s = 4s + (10 * -2 + 2s * -2) -100 + 3s = 4s + (-20 + -4s) Reorder the terms: -100 + 3s = -20 + 4s + -4s Combine like terms: 4s + -4s = 0 -100 + 3s = -20 + 0 -100 + 3s = -20 Solving -100 + 3s = -20 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '100' to each side of the equation. -100 + 100 + 3s = -20 + 100 Combine like terms: -100 + 100 = 0 0 + 3s = -20 + 100 3s = -20 + 100 Combine like terms: -20 + 100 = 80 3s = 80 Divide each side by '3'. s = 26.66666667 Simplifying s = 26.66666667
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