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Simplifying 7 + 2r + -3 = 5r + 7 + -2r Reorder the terms: 7 + -3 + 2r = 5r + 7 + -2r Combine like terms: 7 + -3 = 4 4 + 2r = 5r + 7 + -2r Reorder the terms: 4 + 2r = 7 + 5r + -2r Combine like terms: 5r + -2r = 3r 4 + 2r = 7 + 3r Solving 4 + 2r = 7 + 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. 4 + 2r + -3r = 7 + 3r + -3r Combine like terms: 2r + -3r = -1r 4 + -1r = 7 + 3r + -3r Combine like terms: 3r + -3r = 0 4 + -1r = 7 + 0 4 + -1r = 7 Add '-4' to each side of the equation. 4 + -4 + -1r = 7 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 7 + -4 -1r = 7 + -4 Combine like terms: 7 + -4 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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