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Simplifying 3(2s + 10) = 6(s + 4) + -24s Reorder the terms: 3(10 + 2s) = 6(s + 4) + -24s (10 * 3 + 2s * 3) = 6(s + 4) + -24s (30 + 6s) = 6(s + 4) + -24s Reorder the terms: 30 + 6s = 6(4 + s) + -24s 30 + 6s = (4 * 6 + s * 6) + -24s 30 + 6s = (24 + 6s) + -24s Combine like terms: 6s + -24s = -18s 30 + 6s = 24 + -18s Solving 30 + 6s = 24 + -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. 30 + 6s + 18s = 24 + -18s + 18s Combine like terms: 6s + 18s = 24s 30 + 24s = 24 + -18s + 18s Combine like terms: -18s + 18s = 0 30 + 24s = 24 + 0 30 + 24s = 24 Add '-30' to each side of the equation. 30 + -30 + 24s = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 24s = 24 + -30 24s = 24 + -30 Combine like terms: 24 + -30 = -6 24s = -6 Divide each side by '24'. s = -0.25 Simplifying s = -0.25
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