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Simplifying 3r + -2 + 5r = 2r + 12 Reorder the terms: -2 + 3r + 5r = 2r + 12 Combine like terms: 3r + 5r = 8r -2 + 8r = 2r + 12 Reorder the terms: -2 + 8r = 12 + 2r Solving -2 + 8r = 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. -2 + 8r + -2r = 12 + 2r + -2r Combine like terms: 8r + -2r = 6r -2 + 6r = 12 + 2r + -2r Combine like terms: 2r + -2r = 0 -2 + 6r = 12 + 0 -2 + 6r = 12 Add '2' to each side of the equation. -2 + 2 + 6r = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 6r = 12 + 2 6r = 12 + 2 Combine like terms: 12 + 2 = 14 6r = 14 Divide each side by '6'. r = 2.333333333 Simplifying r = 2.333333333
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