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Simplifying 5s + -1(100 + 25) = 4s + -2(10 + s) Combine like terms: 100 + 25 = 125 5s + -1(125) = 4s + -2(10 + s) Multiply -1 * 125 5s + -125 = 4s + -2(10 + s) Reorder the terms: -125 + 5s = 4s + -2(10 + s) -125 + 5s = 4s + (10 * -2 + s * -2) -125 + 5s = 4s + (-20 + -2s) Reorder the terms: -125 + 5s = -20 + 4s + -2s Combine like terms: 4s + -2s = 2s -125 + 5s = -20 + 2s Solving -125 + 5s = -20 + 2s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-2s' to each side of the equation. -125 + 5s + -2s = -20 + 2s + -2s Combine like terms: 5s + -2s = 3s -125 + 3s = -20 + 2s + -2s Combine like terms: 2s + -2s = 0 -125 + 3s = -20 + 0 -125 + 3s = -20 Add '125' to each side of the equation. -125 + 125 + 3s = -20 + 125 Combine like terms: -125 + 125 = 0 0 + 3s = -20 + 125 3s = -20 + 125 Combine like terms: -20 + 125 = 105 3s = 105 Divide each side by '3'. s = 35 Simplifying s = 35
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