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Simplifying 9r + -22 = -52 + 3r Reorder the terms: -22 + 9r = -52 + 3r Solving -22 + 9r = -52 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -22 + 9r + -3r = -52 + 3r + -3r Combine like terms: 9r + -3r = 6r -22 + 6r = -52 + 3r + -3r Combine like terms: 3r + -3r = 0 -22 + 6r = -52 + 0 -22 + 6r = -52 Add '22' to each side of the equation. -22 + 22 + 6r = -52 + 22 Combine like terms: -22 + 22 = 0 0 + 6r = -52 + 22 6r = -52 + 22 Combine like terms: -52 + 22 = -30 6r = -30 Divide each side by '6'. r = -5 Simplifying r = -5
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