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Simplifying 5.2(4s + 6) + -2.2(3s + -5) = 0 Reorder the terms: 5.2(6 + 4s) + -2.2(3s + -5) = 0 (6 * 5.2 + 4s * 5.2) + -2.2(3s + -5) = 0 (31.2 + 20.8s) + -2.2(3s + -5) = 0 Reorder the terms: 31.2 + 20.8s + -2.2(-5 + 3s) = 0 31.2 + 20.8s + (-5 * -2.2 + 3s * -2.2) = 0 31.2 + 20.8s + (11 + -6.6s) = 0 Reorder the terms: 31.2 + 11 + 20.8s + -6.6s = 0 Combine like terms: 31.2 + 11 = 42.2 42.2 + 20.8s + -6.6s = 0 Combine like terms: 20.8s + -6.6s = 14.2s 42.2 + 14.2s = 0 Solving 42.2 + 14.2s = 0 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-42.2' to each side of the equation. 42.2 + -42.2 + 14.2s = 0 + -42.2 Combine like terms: 42.2 + -42.2 = 0.0 0.0 + 14.2s = 0 + -42.2 14.2s = 0 + -42.2 Combine like terms: 0 + -42.2 = -42.2 14.2s = -42.2 Divide each side by '14.2'. s = -2.971830986 Simplifying s = -2.971830986
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