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Simplifying 8 + 5s + -3 + s = 1 + -4s + 2s Reorder the terms: 8 + -3 + 5s + s = 1 + -4s + 2s Combine like terms: 8 + -3 = 5 5 + 5s + s = 1 + -4s + 2s Combine like terms: 5s + s = 6s 5 + 6s = 1 + -4s + 2s Combine like terms: -4s + 2s = -2s 5 + 6s = 1 + -2s Solving 5 + 6s = 1 + -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. 5 + 6s + 2s = 1 + -2s + 2s Combine like terms: 6s + 2s = 8s 5 + 8s = 1 + -2s + 2s Combine like terms: -2s + 2s = 0 5 + 8s = 1 + 0 5 + 8s = 1 Add '-5' to each side of the equation. 5 + -5 + 8s = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 8s = 1 + -5 8s = 1 + -5 Combine like terms: 1 + -5 = -4 8s = -4 Divide each side by '8'. s = -0.5 Simplifying s = -0.5
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