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Simplifying 6 + 5r + -4 = 6r + 29 + -4r Reorder the terms: 6 + -4 + 5r = 6r + 29 + -4r Combine like terms: 6 + -4 = 2 2 + 5r = 6r + 29 + -4r Reorder the terms: 2 + 5r = 29 + 6r + -4r Combine like terms: 6r + -4r = 2r 2 + 5r = 29 + 2r Solving 2 + 5r = 29 + 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 + 5r + -2r = 29 + 2r + -2r Combine like terms: 5r + -2r = 3r 2 + 3r = 29 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 3r = 29 + 0 2 + 3r = 29 Add '-2' to each side of the equation. 2 + -2 + 3r = 29 + -2 Combine like terms: 2 + -2 = 0 0 + 3r = 29 + -2 3r = 29 + -2 Combine like terms: 29 + -2 = 27 3r = 27 Divide each side by '3'. r = 9 Simplifying r = 9
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