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Simplifying 6 + 4r + -5 = 6r + 2 + -3r Reorder the terms: 6 + -5 + 4r = 6r + 2 + -3r Combine like terms: 6 + -5 = 1 1 + 4r = 6r + 2 + -3r Reorder the terms: 1 + 4r = 2 + 6r + -3r Combine like terms: 6r + -3r = 3r 1 + 4r = 2 + 3r Solving 1 + 4r = 2 + 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. 1 + 4r + -3r = 2 + 3r + -3r Combine like terms: 4r + -3r = 1r 1 + 1r = 2 + 3r + -3r Combine like terms: 3r + -3r = 0 1 + 1r = 2 + 0 1 + 1r = 2 Add '-1' to each side of the equation. 1 + -1 + 1r = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 1r = 2 + -1 1r = 2 + -1 Combine like terms: 2 + -1 = 1 1r = 1 Divide each side by '1'. r = 1 Simplifying r = 1
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