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Simplifying 3 + 6r + -1 = 9r + 7 + -4r Reorder the terms: 3 + -1 + 6r = 9r + 7 + -4r Combine like terms: 3 + -1 = 2 2 + 6r = 9r + 7 + -4r Reorder the terms: 2 + 6r = 7 + 9r + -4r Combine like terms: 9r + -4r = 5r 2 + 6r = 7 + 5r Solving 2 + 6r = 7 + 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 + 6r + -5r = 7 + 5r + -5r Combine like terms: 6r + -5r = 1r 2 + 1r = 7 + 5r + -5r Combine like terms: 5r + -5r = 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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