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Simplifying (3s + 6)(2s + 4) = 6(s2 + 3s + 6) Reorder the terms: (6 + 3s)(2s + 4) = 6(s2 + 3s + 6) Reorder the terms: (6 + 3s)(4 + 2s) = 6(s2 + 3s + 6) Multiply (6 + 3s) * (4 + 2s) (6(4 + 2s) + 3s * (4 + 2s)) = 6(s2 + 3s + 6) ((4 * 6 + 2s * 6) + 3s * (4 + 2s)) = 6(s2 + 3s + 6) ((24 + 12s) + 3s * (4 + 2s)) = 6(s2 + 3s + 6) (24 + 12s + (4 * 3s + 2s * 3s)) = 6(s2 + 3s + 6) (24 + 12s + (12s + 6s2)) = 6(s2 + 3s + 6) Combine like terms: 12s + 12s = 24s (24 + 24s + 6s2) = 6(s2 + 3s + 6) Reorder the terms: 24 + 24s + 6s2 = 6(6 + 3s + s2) 24 + 24s + 6s2 = (6 * 6 + 3s * 6 + s2 * 6) 24 + 24s + 6s2 = (36 + 18s + 6s2) Add '-6s2' to each side of the equation. 24 + 24s + 6s2 + -6s2 = 36 + 18s + 6s2 + -6s2 Combine like terms: 6s2 + -6s2 = 0 24 + 24s + 0 = 36 + 18s + 6s2 + -6s2 24 + 24s = 36 + 18s + 6s2 + -6s2 Combine like terms: 6s2 + -6s2 = 0 24 + 24s = 36 + 18s + 0 24 + 24s = 36 + 18s Solving 24 + 24s = 36 + 18s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-18s' to each side of the equation. 24 + 24s + -18s = 36 + 18s + -18s Combine like terms: 24s + -18s = 6s 24 + 6s = 36 + 18s + -18s Combine like terms: 18s + -18s = 0 24 + 6s = 36 + 0 24 + 6s = 36 Add '-24' to each side of the equation. 24 + -24 + 6s = 36 + -24 Combine like terms: 24 + -24 = 0 0 + 6s = 36 + -24 6s = 36 + -24 Combine like terms: 36 + -24 = 12 6s = 12 Divide each side by '6'. s = 2 Simplifying s = 2
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