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Simplifying 100 = r(2.5) Reorder the terms for easier multiplication: 100 = 2.5r Solving 100 = 2.5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2.5r' to each side of the equation. 100 + -2.5r = 2.5r + -2.5r Combine like terms: 2.5r + -2.5r = 0.0 100 + -2.5r = 0.0 Add '-100' to each side of the equation. 100 + -100 + -2.5r = 0.0 + -100 Combine like terms: 100 + -100 = 0 0 + -2.5r = 0.0 + -100 -2.5r = 0.0 + -100 Combine like terms: 0.0 + -100 = -100 -2.5r = -100 Divide each side by '-2.5'. r = 40 Simplifying r = 40
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