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Simplifying 4r + 21 = -4r + -11 Reorder the terms: 21 + 4r = -4r + -11 Reorder the terms: 21 + 4r = -11 + -4r Solving 21 + 4r = -11 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 21 + 4r + 4r = -11 + -4r + 4r Combine like terms: 4r + 4r = 8r 21 + 8r = -11 + -4r + 4r Combine like terms: -4r + 4r = 0 21 + 8r = -11 + 0 21 + 8r = -11 Add '-21' to each side of the equation. 21 + -21 + 8r = -11 + -21 Combine like terms: 21 + -21 = 0 0 + 8r = -11 + -21 8r = -11 + -21 Combine like terms: -11 + -21 = -32 8r = -32 Divide each side by '8'. r = -4 Simplifying r = -4
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