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Simplifying 7r + 7 = 13r + 9 Reorder the terms: 7 + 7r = 13r + 9 Reorder the terms: 7 + 7r = 9 + 13r Solving 7 + 7r = 9 + 13r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-13r' to each side of the equation. 7 + 7r + -13r = 9 + 13r + -13r Combine like terms: 7r + -13r = -6r 7 + -6r = 9 + 13r + -13r Combine like terms: 13r + -13r = 0 7 + -6r = 9 + 0 7 + -6r = 9 Add '-7' to each side of the equation. 7 + -7 + -6r = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -6r = 9 + -7 -6r = 9 + -7 Combine like terms: 9 + -7 = 2 -6r = 2 Divide each side by '-6'. r = -0.3333333333 Simplifying r = -0.3333333333
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