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Simplifying 8.2(s + 4) = 6.2s + 5.2 Reorder the terms: 8.2(4 + s) = 6.2s + 5.2 (4 * 8.2 + s * 8.2) = 6.2s + 5.2 (32.8 + 8.2s) = 6.2s + 5.2 Reorder the terms: 32.8 + 8.2s = 5.2 + 6.2s Solving 32.8 + 8.2s = 5.2 + 6.2s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-6.2s' to each side of the equation. 32.8 + 8.2s + -6.2s = 5.2 + 6.2s + -6.2s Combine like terms: 8.2s + -6.2s = 2s 32.8 + 2s = 5.2 + 6.2s + -6.2s Combine like terms: 6.2s + -6.2s = 0.0 32.8 + 2s = 5.2 + 0.0 32.8 + 2s = 5.2 Add '-32.8' to each side of the equation. 32.8 + -32.8 + 2s = 5.2 + -32.8 Combine like terms: 32.8 + -32.8 = 0.0 0.0 + 2s = 5.2 + -32.8 2s = 5.2 + -32.8 Combine like terms: 5.2 + -32.8 = -27.6 2s = -27.6 Divide each side by '2'. s = -13.8 Simplifying s = -13.8
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