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Simplifying 12s + -11 = 10 + 8(s + 2) Reorder the terms: -11 + 12s = 10 + 8(s + 2) Reorder the terms: -11 + 12s = 10 + 8(2 + s) -11 + 12s = 10 + (2 * 8 + s * 8) -11 + 12s = 10 + (16 + 8s) Combine like terms: 10 + 16 = 26 -11 + 12s = 26 + 8s Solving -11 + 12s = 26 + 8s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-8s' to each side of the equation. -11 + 12s + -8s = 26 + 8s + -8s Combine like terms: 12s + -8s = 4s -11 + 4s = 26 + 8s + -8s Combine like terms: 8s + -8s = 0 -11 + 4s = 26 + 0 -11 + 4s = 26 Add '11' to each side of the equation. -11 + 11 + 4s = 26 + 11 Combine like terms: -11 + 11 = 0 0 + 4s = 26 + 11 4s = 26 + 11 Combine like terms: 26 + 11 = 37 4s = 37 Divide each side by '4'. s = 9.25 Simplifying s = 9.25
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