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Simplifying 3r + -7 + 4r = 5r + 23 Reorder the terms: -7 + 3r + 4r = 5r + 23 Combine like terms: 3r + 4r = 7r -7 + 7r = 5r + 23 Reorder the terms: -7 + 7r = 23 + 5r Solving -7 + 7r = 23 + 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. -7 + 7r + -5r = 23 + 5r + -5r Combine like terms: 7r + -5r = 2r -7 + 2r = 23 + 5r + -5r Combine like terms: 5r + -5r = 0 -7 + 2r = 23 + 0 -7 + 2r = 23 Add '7' to each side of the equation. -7 + 7 + 2r = 23 + 7 Combine like terms: -7 + 7 = 0 0 + 2r = 23 + 7 2r = 23 + 7 Combine like terms: 23 + 7 = 30 2r = 30 Divide each side by '2'. r = 15 Simplifying r = 15
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