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