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Simplifying 8.2(s + 4) = 6.7s + 5 Reorder the terms: 8.2(4 + s) = 6.7s + 5 (4 * 8.2 + s * 8.2) = 6.7s + 5 (32.8 + 8.2s) = 6.7s + 5 Reorder the terms: 32.8 + 8.2s = 5 + 6.7s Solving 32.8 + 8.2s = 5 + 6.7s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6.7s' to each side of the equation. 32.8 + 8.2s + -6.7s = 5 + 6.7s + -6.7s Combine like terms: 8.2s + -6.7s = 1.5s 32.8 + 1.5s = 5 + 6.7s + -6.7s Combine like terms: 6.7s + -6.7s = 0.0 32.8 + 1.5s = 5 + 0.0 32.8 + 1.5s = 5 Add '-32.8' to each side of the equation. 32.8 + -32.8 + 1.5s = 5 + -32.8 Combine like terms: 32.8 + -32.8 = 0.0 0.0 + 1.5s = 5 + -32.8 1.5s = 5 + -32.8 Combine like terms: 5 + -32.8 = -27.8 1.5s = -27.8 Divide each side by '1.5'. s = -18.53333333 Simplifying s = -18.53333333
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