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Simplifying 6(3 + 2s) + 4(s + 8) = 0 (3 * 6 + 2s * 6) + 4(s + 8) = 0 (18 + 12s) + 4(s + 8) = 0 Reorder the terms: 18 + 12s + 4(8 + s) = 0 18 + 12s + (8 * 4 + s * 4) = 0 18 + 12s + (32 + 4s) = 0 Reorder the terms: 18 + 32 + 12s + 4s = 0 Combine like terms: 18 + 32 = 50 50 + 12s + 4s = 0 Combine like terms: 12s + 4s = 16s 50 + 16s = 0 Solving 50 + 16s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 16s = 0 + -50 Combine like terms: 50 + -50 = 0 0 + 16s = 0 + -50 16s = 0 + -50 Combine like terms: 0 + -50 = -50 16s = -50 Divide each side by '16'. s = -3.125 Simplifying s = -3.125
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