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Simplifying 2s + 140.50 = 3.5(s + 8) Reorder the terms: 140.50 + 2s = 3.5(s + 8) Reorder the terms: 140.50 + 2s = 3.5(8 + s) 140.50 + 2s = (8 * 3.5 + s * 3.5) 140.50 + 2s = (28 + 3.5s) Solving 140.50 + 2s = 28 + 3.5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-3.5s' to each side of the equation. 140.50 + 2s + -3.5s = 28 + 3.5s + -3.5s Combine like terms: 2s + -3.5s = -1.5s 140.50 + -1.5s = 28 + 3.5s + -3.5s Combine like terms: 3.5s + -3.5s = 0.0 140.50 + -1.5s = 28 + 0.0 140.50 + -1.5s = 28 Add '-140.50' to each side of the equation. 140.50 + -140.50 + -1.5s = 28 + -140.50 Combine like terms: 140.50 + -140.50 = 0.00 0.00 + -1.5s = 28 + -140.50 -1.5s = 28 + -140.50 Combine like terms: 28 + -140.50 = -112.5 -1.5s = -112.5 Divide each side by '-1.5'. s = 75 Simplifying s = 75
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