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Simplifying 5r + -2 = 7r + -11 Reorder the terms: -2 + 5r = 7r + -11 Reorder the terms: -2 + 5r = -11 + 7r Solving -2 + 5r = -11 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -2 + 5r + -7r = -11 + 7r + -7r Combine like terms: 5r + -7r = -2r -2 + -2r = -11 + 7r + -7r Combine like terms: 7r + -7r = 0 -2 + -2r = -11 + 0 -2 + -2r = -11 Add '2' to each side of the equation. -2 + 2 + -2r = -11 + 2 Combine like terms: -2 + 2 = 0 0 + -2r = -11 + 2 -2r = -11 + 2 Combine like terms: -11 + 2 = -9 -2r = -9 Divide each side by '-2'. r = 4.5 Simplifying r = 4.5
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