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Simplifying 4r + 2.25r + 14 = 5r + -0.75r + 1 + -3 Reorder the terms: 14 + 4r + 2.25r = 5r + -0.75r + 1 + -3 Combine like terms: 4r + 2.25r = 6.25r 14 + 6.25r = 5r + -0.75r + 1 + -3 Reorder the terms: 14 + 6.25r = 1 + -3 + 5r + -0.75r Combine like terms: 1 + -3 = -2 14 + 6.25r = -2 + 5r + -0.75r Combine like terms: 5r + -0.75r = 4.25r 14 + 6.25r = -2 + 4.25r Solving 14 + 6.25r = -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. 14 + 6.25r + -4.25r = -2 + 4.25r + -4.25r Combine like terms: 6.25r + -4.25r = 2r 14 + 2r = -2 + 4.25r + -4.25r Combine like terms: 4.25r + -4.25r = 0.00 14 + 2r = -2 + 0.00 14 + 2r = -2 Add '-14' to each side of the equation. 14 + -14 + 2r = -2 + -14 Combine like terms: 14 + -14 = 0 0 + 2r = -2 + -14 2r = -2 + -14 Combine like terms: -2 + -14 = -16 2r = -16 Divide each side by '2'. r = -8 Simplifying r = -8
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