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Simplifying 8r + -23 = -32 + 7r Reorder the terms: -23 + 8r = -32 + 7r Solving -23 + 8r = -32 + 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. -23 + 8r + -7r = -32 + 7r + -7r Combine like terms: 8r + -7r = 1r -23 + 1r = -32 + 7r + -7r Combine like terms: 7r + -7r = 0 -23 + 1r = -32 + 0 -23 + 1r = -32 Add '23' to each side of the equation. -23 + 23 + 1r = -32 + 23 Combine like terms: -23 + 23 = 0 0 + 1r = -32 + 23 1r = -32 + 23 Combine like terms: -32 + 23 = -9 1r = -9 Divide each side by '1'. r = -9 Simplifying r = -9
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