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Simplifying 6 + 5r = 12 + 2r Solving 6 + 5r = 12 + 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. 6 + 5r + -2r = 12 + 2r + -2r Combine like terms: 5r + -2r = 3r 6 + 3r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 6 + 3r = 12 + 0 6 + 3r = 12 Add '-6' to each side of the equation. 6 + -6 + 3r = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 3r = 12 + -6 3r = 12 + -6 Combine like terms: 12 + -6 = 6 3r = 6 Divide each side by '3'. r = 2 Simplifying r = 2
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