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Simplifying 3(2s + 6) = 6(s + 2) + -24s Reorder the terms: 3(6 + 2s) = 6(s + 2) + -24s (6 * 3 + 2s * 3) = 6(s + 2) + -24s (18 + 6s) = 6(s + 2) + -24s Reorder the terms: 18 + 6s = 6(2 + s) + -24s 18 + 6s = (2 * 6 + s * 6) + -24s 18 + 6s = (12 + 6s) + -24s Combine like terms: 6s + -24s = -18s 18 + 6s = 12 + -18s Solving 18 + 6s = 12 + -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. 18 + 6s + 18s = 12 + -18s + 18s Combine like terms: 6s + 18s = 24s 18 + 24s = 12 + -18s + 18s Combine like terms: -18s + 18s = 0 18 + 24s = 12 + 0 18 + 24s = 12 Add '-18' to each side of the equation. 18 + -18 + 24s = 12 + -18 Combine like terms: 18 + -18 = 0 0 + 24s = 12 + -18 24s = 12 + -18 Combine like terms: 12 + -18 = -6 24s = -6 Divide each side by '24'. s = -0.25 Simplifying s = -0.25
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