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Simplifying 7.5(3.5s + 4) = 25.5 + -6.5s Reorder the terms: 7.5(4 + 3.5s) = 25.5 + -6.5s (4 * 7.5 + 3.5s * 7.5) = 25.5 + -6.5s (30 + 26.25s) = 25.5 + -6.5s Solving 30 + 26.25s = 25.5 + -6.5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '6.5s' to each side of the equation. 30 + 26.25s + 6.5s = 25.5 + -6.5s + 6.5s Combine like terms: 26.25s + 6.5s = 32.75s 30 + 32.75s = 25.5 + -6.5s + 6.5s Combine like terms: -6.5s + 6.5s = 0.0 30 + 32.75s = 25.5 + 0.0 30 + 32.75s = 25.5 Add '-30' to each side of the equation. 30 + -30 + 32.75s = 25.5 + -30 Combine like terms: 30 + -30 = 0 0 + 32.75s = 25.5 + -30 32.75s = 25.5 + -30 Combine like terms: 25.5 + -30 = -4.5 32.75s = -4.5 Divide each side by '32.75'. s = -0.1374045802 Simplifying s = -0.1374045802
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