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Simplifying 15.5 + 7.5s = 6.5(5s + 8) Reorder the terms: 15.5 + 7.5s = 6.5(8 + 5s) 15.5 + 7.5s = (8 * 6.5 + 5s * 6.5) 15.5 + 7.5s = (52 + 32.5s) Solving 15.5 + 7.5s = 52 + 32.5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-32.5s' to each side of the equation. 15.5 + 7.5s + -32.5s = 52 + 32.5s + -32.5s Combine like terms: 7.5s + -32.5s = -25s 15.5 + -25s = 52 + 32.5s + -32.5s Combine like terms: 32.5s + -32.5s = 0.0 15.5 + -25s = 52 + 0.0 15.5 + -25s = 52 Add '-15.5' to each side of the equation. 15.5 + -15.5 + -25s = 52 + -15.5 Combine like terms: 15.5 + -15.5 = 0.0 0.0 + -25s = 52 + -15.5 -25s = 52 + -15.5 Combine like terms: 52 + -15.5 = 36.5 -25s = 36.5 Divide each side by '-25'. s = -1.46 Simplifying s = -1.46
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