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