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Simplifying -4r + -9 = 7r + 46 Reorder the terms: -9 + -4r = 7r + 46 Reorder the terms: -9 + -4r = 46 + 7r Solving -9 + -4r = 46 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -9 + -4r + -7r = 46 + 7r + -7r Combine like terms: -4r + -7r = -11r -9 + -11r = 46 + 7r + -7r Combine like terms: 7r + -7r = 0 -9 + -11r = 46 + 0 -9 + -11r = 46 Add '9' to each side of the equation. -9 + 9 + -11r = 46 + 9 Combine like terms: -9 + 9 = 0 0 + -11r = 46 + 9 -11r = 46 + 9 Combine like terms: 46 + 9 = 55 -11r = 55 Divide each side by '-11'. r = -5 Simplifying r = -5
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