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Simplifying 5r + -4 = 2r + 7 Reorder the terms: -4 + 5r = 2r + 7 Reorder the terms: -4 + 5r = 7 + 2r Solving -4 + 5r = 7 + 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. -4 + 5r + -2r = 7 + 2r + -2r Combine like terms: 5r + -2r = 3r -4 + 3r = 7 + 2r + -2r Combine like terms: 2r + -2r = 0 -4 + 3r = 7 + 0 -4 + 3r = 7 Add '4' to each side of the equation. -4 + 4 + 3r = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 3r = 7 + 4 3r = 7 + 4 Combine like terms: 7 + 4 = 11 3r = 11 Divide each side by '3'. r = 3.666666667 Simplifying r = 3.666666667
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