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Simplifying r + 2.5 = 12 + -3r Reorder the terms: 2.5 + r = 12 + -3r Solving 2.5 + r = 12 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 2.5 + r + 3r = 12 + -3r + 3r Combine like terms: r + 3r = 4r 2.5 + 4r = 12 + -3r + 3r Combine like terms: -3r + 3r = 0 2.5 + 4r = 12 + 0 2.5 + 4r = 12 Add '-2.5' to each side of the equation. 2.5 + -2.5 + 4r = 12 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 4r = 12 + -2.5 4r = 12 + -2.5 Combine like terms: 12 + -2.5 = 9.5 4r = 9.5 Divide each side by '4'. r = 2.375 Simplifying r = 2.375
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