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Simplifying 2r + 4 = 5r + 6 Reorder the terms: 4 + 2r = 5r + 6 Reorder the terms: 4 + 2r = 6 + 5r Solving 4 + 2r = 6 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 4 + 2r + -5r = 6 + 5r + -5r Combine like terms: 2r + -5r = -3r 4 + -3r = 6 + 5r + -5r Combine like terms: 5r + -5r = 0 4 + -3r = 6 + 0 4 + -3r = 6 Add '-4' to each side of the equation. 4 + -4 + -3r = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -3r = 6 + -4 -3r = 6 + -4 Combine like terms: 6 + -4 = 2 -3r = 2 Divide each side by '-3'. r = -0.6666666667 Simplifying r = -0.6666666667
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