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Simplifying 7r + 4 = 21 + 24r Reorder the terms: 4 + 7r = 21 + 24r Solving 4 + 7r = 21 + 24r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24r' to each side of the equation. 4 + 7r + -24r = 21 + 24r + -24r Combine like terms: 7r + -24r = -17r 4 + -17r = 21 + 24r + -24r Combine like terms: 24r + -24r = 0 4 + -17r = 21 + 0 4 + -17r = 21 Add '-4' to each side of the equation. 4 + -4 + -17r = 21 + -4 Combine like terms: 4 + -4 = 0 0 + -17r = 21 + -4 -17r = 21 + -4 Combine like terms: 21 + -4 = 17 -17r = 17 Divide each side by '-17'. r = -1 Simplifying r = -1
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