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Simplifying 7r + 4 = 21r + 11 Reorder the terms: 4 + 7r = 21r + 11 Reorder the terms: 4 + 7r = 11 + 21r Solving 4 + 7r = 11 + 21r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-21r' to each side of the equation. 4 + 7r + -21r = 11 + 21r + -21r Combine like terms: 7r + -21r = -14r 4 + -14r = 11 + 21r + -21r Combine like terms: 21r + -21r = 0 4 + -14r = 11 + 0 4 + -14r = 11 Add '-4' to each side of the equation. 4 + -4 + -14r = 11 + -4 Combine like terms: 4 + -4 = 0 0 + -14r = 11 + -4 -14r = 11 + -4 Combine like terms: 11 + -4 = 7 -14r = 7 Divide each side by '-14'. r = -0.5 Simplifying r = -0.5
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