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Simplifying 5r + -2 + 3r = 2r + 6 Reorder the terms: -2 + 5r + 3r = 2r + 6 Combine like terms: 5r + 3r = 8r -2 + 8r = 2r + 6 Reorder the terms: -2 + 8r = 6 + 2r Solving -2 + 8r = 6 + 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 = 6 + 2r + -2r Combine like terms: 8r + -2r = 6r -2 + 6r = 6 + 2r + -2r Combine like terms: 2r + -2r = 0 -2 + 6r = 6 + 0 -2 + 6r = 6 Add '2' to each side of the equation. -2 + 2 + 6r = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 6r = 6 + 2 6r = 6 + 2 Combine like terms: 6 + 2 = 8 6r = 8 Divide each side by '6'. r = 1.333333333 Simplifying r = 1.333333333
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