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Simplifying 7 + 13r + -5 = 9r + 13 + -7r Reorder the terms: 7 + -5 + 13r = 9r + 13 + -7r Combine like terms: 7 + -5 = 2 2 + 13r = 9r + 13 + -7r Reorder the terms: 2 + 13r = 13 + 9r + -7r Combine like terms: 9r + -7r = 2r 2 + 13r = 13 + 2r Solving 2 + 13r = 13 + 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. 2 + 13r + -2r = 13 + 2r + -2r Combine like terms: 13r + -2r = 11r 2 + 11r = 13 + 2r + -2r Combine like terms: 2r + -2r = 0 2 + 11r = 13 + 0 2 + 11r = 13 Add '-2' to each side of the equation. 2 + -2 + 11r = 13 + -2 Combine like terms: 2 + -2 = 0 0 + 11r = 13 + -2 11r = 13 + -2 Combine like terms: 13 + -2 = 11 11r = 11 Divide each side by '11'. r = 1 Simplifying r = 1
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