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Simplifying -3r + 5 = 5r + 21 Reorder the terms: 5 + -3r = 5r + 21 Reorder the terms: 5 + -3r = 21 + 5r Solving 5 + -3r = 21 + 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. 5 + -3r + -5r = 21 + 5r + -5r Combine like terms: -3r + -5r = -8r 5 + -8r = 21 + 5r + -5r Combine like terms: 5r + -5r = 0 5 + -8r = 21 + 0 5 + -8r = 21 Add '-5' to each side of the equation. 5 + -5 + -8r = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -8r = 21 + -5 -8r = 21 + -5 Combine like terms: 21 + -5 = 16 -8r = 16 Divide each side by '-8'. r = -2 Simplifying r = -2
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