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Simplifying 5(3s + 2) + 2(3s + 2) = 0 Reorder the terms: 5(2 + 3s) + 2(3s + 2) = 0 (2 * 5 + 3s * 5) + 2(3s + 2) = 0 (10 + 15s) + 2(3s + 2) = 0 Reorder the terms: 10 + 15s + 2(2 + 3s) = 0 10 + 15s + (2 * 2 + 3s * 2) = 0 10 + 15s + (4 + 6s) = 0 Reorder the terms: 10 + 4 + 15s + 6s = 0 Combine like terms: 10 + 4 = 14 14 + 15s + 6s = 0 Combine like terms: 15s + 6s = 21s 14 + 21s = 0 Solving 14 + 21s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 21s = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 21s = 0 + -14 21s = 0 + -14 Combine like terms: 0 + -14 = -14 21s = -14 Divide each side by '21'. s = -0.6666666667 Simplifying s = -0.6666666667
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