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Simplifying 7r + -5r + 4 = 5r + -1r Reorder the terms: 4 + 7r + -5r = 5r + -1r Combine like terms: 7r + -5r = 2r 4 + 2r = 5r + -1r Combine like terms: 5r + -1r = 4r 4 + 2r = 4r Solving 4 + 2r = 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 4 + 2r + -4r = 4r + -4r Combine like terms: 2r + -4r = -2r 4 + -2r = 4r + -4r Combine like terms: 4r + -4r = 0 4 + -2r = 0 Add '-4' to each side of the equation. 4 + -4 + -2r = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = 0 + -4 -2r = 0 + -4 Combine like terms: 0 + -4 = -4 -2r = -4 Divide each side by '-2'. r = 2 Simplifying r = 2
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