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Simplifying 0.50r + 4 = 0.75r + -3 Reorder the terms: 4 + 0.50r = 0.75r + -3 Reorder the terms: 4 + 0.50r = -3 + 0.75r Solving 4 + 0.50r = -3 + 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. 4 + 0.50r + -0.75r = -3 + 0.75r + -0.75r Combine like terms: 0.50r + -0.75r = -0.25r 4 + -0.25r = -3 + 0.75r + -0.75r Combine like terms: 0.75r + -0.75r = 0.00 4 + -0.25r = -3 + 0.00 4 + -0.25r = -3 Add '-4' to each side of the equation. 4 + -4 + -0.25r = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -0.25r = -3 + -4 -0.25r = -3 + -4 Combine like terms: -3 + -4 = -7 -0.25r = -7 Divide each side by '-0.25'. r = 28 Simplifying r = 28
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