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Simplifying 5 + 4r + -3 = 7r + 3 + -2r Reorder the terms: 5 + -3 + 4r = 7r + 3 + -2r Combine like terms: 5 + -3 = 2 2 + 4r = 7r + 3 + -2r Reorder the terms: 2 + 4r = 3 + 7r + -2r Combine like terms: 7r + -2r = 5r 2 + 4r = 3 + 5r Solving 2 + 4r = 3 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 2 + 4r + -5r = 3 + 5r + -5r Combine like terms: 4r + -5r = -1r 2 + -1r = 3 + 5r + -5r Combine like terms: 5r + -5r = 0 2 + -1r = 3 + 0 2 + -1r = 3 Add '-2' to each side of the equation. 2 + -2 + -1r = 3 + -2 Combine like terms: 2 + -2 = 0 0 + -1r = 3 + -2 -1r = 3 + -2 Combine like terms: 3 + -2 = 1 -1r = 1 Divide each side by '-1'. r = -1 Simplifying r = -1
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