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Simplifying 5 + -2s + 3s + -4s + 5s = s + 100 Combine like terms: -2s + 3s = 1s 5 + 1s + -4s + 5s = s + 100 Combine like terms: 1s + -4s = -3s 5 + -3s + 5s = s + 100 Combine like terms: -3s + 5s = 2s 5 + 2s = s + 100 Reorder the terms: 5 + 2s = 100 + s Solving 5 + 2s = 100 + s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-1s' to each side of the equation. 5 + 2s + -1s = 100 + s + -1s Combine like terms: 2s + -1s = 1s 5 + 1s = 100 + s + -1s Combine like terms: s + -1s = 0 5 + 1s = 100 + 0 5 + 1s = 100 Add '-5' to each side of the equation. 5 + -5 + 1s = 100 + -5 Combine like terms: 5 + -5 = 0 0 + 1s = 100 + -5 1s = 100 + -5 Combine like terms: 100 + -5 = 95 1s = 95 Divide each side by '1'. s = 95 Simplifying s = 95
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