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Simplifying 8s + 4 + -2(2s + -4) = 2 + 5(s + 2) Reorder the terms: 8s + 4 + -2(-4 + 2s) = 2 + 5(s + 2) 8s + 4 + (-4 * -2 + 2s * -2) = 2 + 5(s + 2) 8s + 4 + (8 + -4s) = 2 + 5(s + 2) Reorder the terms: 4 + 8 + 8s + -4s = 2 + 5(s + 2) Combine like terms: 4 + 8 = 12 12 + 8s + -4s = 2 + 5(s + 2) Combine like terms: 8s + -4s = 4s 12 + 4s = 2 + 5(s + 2) Reorder the terms: 12 + 4s = 2 + 5(2 + s) 12 + 4s = 2 + (2 * 5 + s * 5) 12 + 4s = 2 + (10 + 5s) Combine like terms: 2 + 10 = 12 12 + 4s = 12 + 5s Add '-12' to each side of the equation. 12 + -12 + 4s = 12 + -12 + 5s Combine like terms: 12 + -12 = 0 0 + 4s = 12 + -12 + 5s 4s = 12 + -12 + 5s Combine like terms: 12 + -12 = 0 4s = 0 + 5s 4s = 5s Solving 4s = 5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-5s' to each side of the equation. 4s + -5s = 5s + -5s Combine like terms: 4s + -5s = -1s -1s = 5s + -5s Combine like terms: 5s + -5s = 0 -1s = 0 Divide each side by '-1'. s = 0 Simplifying s = 0
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