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Simplifying 5s + -1(100 + 25) = 4s + -2(10 + 5) Combine like terms: 100 + 25 = 125 5s + -1(125) = 4s + -2(10 + 5) Multiply -1 * 125 5s + -125 = 4s + -2(10 + 5) Reorder the terms: -125 + 5s = 4s + -2(10 + 5) Combine like terms: 10 + 5 = 15 -125 + 5s = 4s + -2(15) Multiply -2 * 15 -125 + 5s = 4s + -30 Reorder the terms: -125 + 5s = -30 + 4s Solving -125 + 5s = -30 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. -125 + 5s + -4s = -30 + 4s + -4s Combine like terms: 5s + -4s = 1s -125 + 1s = -30 + 4s + -4s Combine like terms: 4s + -4s = 0 -125 + 1s = -30 + 0 -125 + 1s = -30 Add '125' to each side of the equation. -125 + 125 + 1s = -30 + 125 Combine like terms: -125 + 125 = 0 0 + 1s = -30 + 125 1s = -30 + 125 Combine like terms: -30 + 125 = 95 1s = 95 Divide each side by '1'. s = 95 Simplifying s = 95
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