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Simplifying 45r + -7 = 52r + -56 Reorder the terms: -7 + 45r = 52r + -56 Reorder the terms: -7 + 45r = -56 + 52r Solving -7 + 45r = -56 + 52r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-52r' to each side of the equation. -7 + 45r + -52r = -56 + 52r + -52r Combine like terms: 45r + -52r = -7r -7 + -7r = -56 + 52r + -52r Combine like terms: 52r + -52r = 0 -7 + -7r = -56 + 0 -7 + -7r = -56 Add '7' to each side of the equation. -7 + 7 + -7r = -56 + 7 Combine like terms: -7 + 7 = 0 0 + -7r = -56 + 7 -7r = -56 + 7 Combine like terms: -56 + 7 = -49 -7r = -49 Divide each side by '-7'. r = 7 Simplifying r = 7
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