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Simplifying 7r + 8 = 13r + 10 Reorder the terms: 8 + 7r = 13r + 10 Reorder the terms: 8 + 7r = 10 + 13r Solving 8 + 7r = 10 + 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. 8 + 7r + -13r = 10 + 13r + -13r Combine like terms: 7r + -13r = -6r 8 + -6r = 10 + 13r + -13r Combine like terms: 13r + -13r = 0 8 + -6r = 10 + 0 8 + -6r = 10 Add '-8' to each side of the equation. 8 + -8 + -6r = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -6r = 10 + -8 -6r = 10 + -8 Combine like terms: 10 + -8 = 2 -6r = 2 Divide each side by '-6'. r = -0.3333333333 Simplifying r = -0.3333333333
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