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Simplifying -3r + -1 = 5r + 23 Reorder the terms: -1 + -3r = 5r + 23 Reorder the terms: -1 + -3r = 23 + 5r Solving -1 + -3r = 23 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -1 + -3r + -5r = 23 + 5r + -5r Combine like terms: -3r + -5r = -8r -1 + -8r = 23 + 5r + -5r Combine like terms: 5r + -5r = 0 -1 + -8r = 23 + 0 -1 + -8r = 23 Add '1' to each side of the equation. -1 + 1 + -8r = 23 + 1 Combine like terms: -1 + 1 = 0 0 + -8r = 23 + 1 -8r = 23 + 1 Combine like terms: 23 + 1 = 24 -8r = 24 Divide each side by '-8'. r = -3 Simplifying r = -3
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