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Simplifying -5r + 7 = 8r + -10 Reorder the terms: 7 + -5r = 8r + -10 Reorder the terms: 7 + -5r = -10 + 8r Solving 7 + -5r = -10 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 7 + -5r + -8r = -10 + 8r + -8r Combine like terms: -5r + -8r = -13r 7 + -13r = -10 + 8r + -8r Combine like terms: 8r + -8r = 0 7 + -13r = -10 + 0 7 + -13r = -10 Add '-7' to each side of the equation. 7 + -7 + -13r = -10 + -7 Combine like terms: 7 + -7 = 0 0 + -13r = -10 + -7 -13r = -10 + -7 Combine like terms: -10 + -7 = -17 -13r = -17 Divide each side by '-13'. r = 1.307692308 Simplifying r = 1.307692308
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