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Simplifying 4r + 2.25 + 14 = 5r + -0.75r + 1 + -3 Reorder the terms: 2.25 + 14 + 4r = 5r + -0.75r + 1 + -3 Combine like terms: 2.25 + 14 = 16.25 16.25 + 4r = 5r + -0.75r + 1 + -3 Reorder the terms: 16.25 + 4r = 1 + -3 + 5r + -0.75r Combine like terms: 1 + -3 = -2 16.25 + 4r = -2 + 5r + -0.75r Combine like terms: 5r + -0.75r = 4.25r 16.25 + 4r = -2 + 4.25r Solving 16.25 + 4r = -2 + 4.25r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4.25r' to each side of the equation. 16.25 + 4r + -4.25r = -2 + 4.25r + -4.25r Combine like terms: 4r + -4.25r = -0.25r 16.25 + -0.25r = -2 + 4.25r + -4.25r Combine like terms: 4.25r + -4.25r = 0.00 16.25 + -0.25r = -2 + 0.00 16.25 + -0.25r = -2 Add '-16.25' to each side of the equation. 16.25 + -16.25 + -0.25r = -2 + -16.25 Combine like terms: 16.25 + -16.25 = 0.00 0.00 + -0.25r = -2 + -16.25 -0.25r = -2 + -16.25 Combine like terms: -2 + -16.25 = -18.25 -0.25r = -18.25 Divide each side by '-0.25'. r = 73 Simplifying r = 73
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