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Simplifying 3r + 21 = -4r Reorder the terms: 21 + 3r = -4r Solving 21 + 3r = -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 + 3r + 4r = -4r + 4r Combine like terms: 3r + 4r = 7r 21 + 7r = -4r + 4r Combine like terms: -4r + 4r = 0 21 + 7r = 0 Add '-21' to each side of the equation. 21 + -21 + 7r = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 7r = 0 + -21 7r = 0 + -21 Combine like terms: 0 + -21 = -21 7r = -21 Divide each side by '7'. r = -3 Simplifying r = -3
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