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Simplifying 52.34 = 2(12.99) + 18.50 + s(7.5) Multiply 2 * 12.99 52.34 = 25.98 + 18.50 + s(7.5) Reorder the terms for easier multiplication: 52.34 = 25.98 + 18.50 + 7.5s Combine like terms: 25.98 + 18.50 = 44.48 52.34 = 44.48 + 7.5s Solving 52.34 = 44.48 + 7.5s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-7.5s' to each side of the equation. 52.34 + -7.5s = 44.48 + 7.5s + -7.5s Combine like terms: 7.5s + -7.5s = 0.0 52.34 + -7.5s = 44.48 + 0.0 52.34 + -7.5s = 44.48 Add '-52.34' to each side of the equation. 52.34 + -52.34 + -7.5s = 44.48 + -52.34 Combine like terms: 52.34 + -52.34 = 0.00 0.00 + -7.5s = 44.48 + -52.34 -7.5s = 44.48 + -52.34 Combine like terms: 44.48 + -52.34 = -7.86 -7.5s = -7.86 Divide each side by '-7.5'. s = 1.048 Simplifying s = 1.048
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