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Simplifying 47 = 100r + 40r Combine like terms: 100r + 40r = 140r 47 = 140r Solving 47 = 140r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-140r' to each side of the equation. 47 + -140r = 140r + -140r Combine like terms: 140r + -140r = 0 47 + -140r = 0 Add '-47' to each side of the equation. 47 + -47 + -140r = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -140r = 0 + -47 -140r = 0 + -47 Combine like terms: 0 + -47 = -47 -140r = -47 Divide each side by '-140'. r = 0.3357142857 Simplifying r = 0.3357142857
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