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Simplifying 7 + 13r + -3 = 9r + 81 + -7r Reorder the terms: 7 + -3 + 13r = 9r + 81 + -7r Combine like terms: 7 + -3 = 4 4 + 13r = 9r + 81 + -7r Reorder the terms: 4 + 13r = 81 + 9r + -7r Combine like terms: 9r + -7r = 2r 4 + 13r = 81 + 2r Solving 4 + 13r = 81 + 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 + 13r + -2r = 81 + 2r + -2r Combine like terms: 13r + -2r = 11r 4 + 11r = 81 + 2r + -2r Combine like terms: 2r + -2r = 0 4 + 11r = 81 + 0 4 + 11r = 81 Add '-4' to each side of the equation. 4 + -4 + 11r = 81 + -4 Combine like terms: 4 + -4 = 0 0 + 11r = 81 + -4 11r = 81 + -4 Combine like terms: 81 + -4 = 77 11r = 77 Divide each side by '11'. r = 7 Simplifying r = 7
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