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Simplifying 0.50r + 10 = 0.75r + 6 Reorder the terms: 10 + 0.50r = 0.75r + 6 Reorder the terms: 10 + 0.50r = 6 + 0.75r Solving 10 + 0.50r = 6 + 0.75r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-0.75r' to each side of the equation. 10 + 0.50r + -0.75r = 6 + 0.75r + -0.75r Combine like terms: 0.50r + -0.75r = -0.25r 10 + -0.25r = 6 + 0.75r + -0.75r Combine like terms: 0.75r + -0.75r = 0.00 10 + -0.25r = 6 + 0.00 10 + -0.25r = 6 Add '-10' to each side of the equation. 10 + -10 + -0.25r = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -0.25r = 6 + -10 -0.25r = 6 + -10 Combine like terms: 6 + -10 = -4 -0.25r = -4 Divide each side by '-0.25'. r = 16 Simplifying r = 16
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