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