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Simplifying 55r + 7 = 23r + 153 Reorder the terms: 7 + 55r = 23r + 153 Reorder the terms: 7 + 55r = 153 + 23r Solving 7 + 55r = 153 + 23r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-23r' to each side of the equation. 7 + 55r + -23r = 153 + 23r + -23r Combine like terms: 55r + -23r = 32r 7 + 32r = 153 + 23r + -23r Combine like terms: 23r + -23r = 0 7 + 32r = 153 + 0 7 + 32r = 153 Add '-7' to each side of the equation. 7 + -7 + 32r = 153 + -7 Combine like terms: 7 + -7 = 0 0 + 32r = 153 + -7 32r = 153 + -7 Combine like terms: 153 + -7 = 146 32r = 146 Divide each side by '32'. r = 4.5625 Simplifying r = 4.5625
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