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Simplifying 5s + (-100 + -2s) = 4s + 2(10 + s) Remove parenthesis around (-100 + -2s) 5s + -100 + -2s = 4s + 2(10 + s) Reorder the terms: -100 + 5s + -2s = 4s + 2(10 + s) Combine like terms: 5s + -2s = 3s -100 + 3s = 4s + 2(10 + s) -100 + 3s = 4s + (10 * 2 + s * 2) -100 + 3s = 4s + (20 + 2s) Reorder the terms: -100 + 3s = 20 + 4s + 2s Combine like terms: 4s + 2s = 6s -100 + 3s = 20 + 6s Solving -100 + 3s = 20 + 6s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6s' to each side of the equation. -100 + 3s + -6s = 20 + 6s + -6s Combine like terms: 3s + -6s = -3s -100 + -3s = 20 + 6s + -6s Combine like terms: 6s + -6s = 0 -100 + -3s = 20 + 0 -100 + -3s = 20 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 = 120 -3s = 120 Divide each side by '-3'. s = -40 Simplifying s = -40
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