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Simplifying 7r + -13 = 4r + 11 Reorder the terms: -13 + 7r = 4r + 11 Reorder the terms: -13 + 7r = 11 + 4r Solving -13 + 7r = 11 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -13 + 7r + -4r = 11 + 4r + -4r Combine like terms: 7r + -4r = 3r -13 + 3r = 11 + 4r + -4r Combine like terms: 4r + -4r = 0 -13 + 3r = 11 + 0 -13 + 3r = 11 Add '13' to each side of the equation. -13 + 13 + 3r = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 3r = 11 + 13 3r = 11 + 13 Combine like terms: 11 + 13 = 24 3r = 24 Divide each side by '3'. r = 8 Simplifying r = 8
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