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Simplifying 1.5r + 4 = 3.75r + -0.5 Reorder the terms: 4 + 1.5r = 3.75r + -0.5 Reorder the terms: 4 + 1.5r = -0.5 + 3.75r Solving 4 + 1.5r = -0.5 + 3.75r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3.75r' to each side of the equation. 4 + 1.5r + -3.75r = -0.5 + 3.75r + -3.75r Combine like terms: 1.5r + -3.75r = -2.25r 4 + -2.25r = -0.5 + 3.75r + -3.75r Combine like terms: 3.75r + -3.75r = 0.00 4 + -2.25r = -0.5 + 0.00 4 + -2.25r = -0.5 Add '-4' to each side of the equation. 4 + -4 + -2.25r = -0.5 + -4 Combine like terms: 4 + -4 = 0 0 + -2.25r = -0.5 + -4 -2.25r = -0.5 + -4 Combine like terms: -0.5 + -4 = -4.5 -2.25r = -4.5 Divide each side by '-2.25'. r = 2 Simplifying r = 2
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