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Simplifying 5 + 19r + -1 = 4r + 21 + -2r Reorder the terms: 5 + -1 + 19r = 4r + 21 + -2r Combine like terms: 5 + -1 = 4 4 + 19r = 4r + 21 + -2r Reorder the terms: 4 + 19r = 21 + 4r + -2r Combine like terms: 4r + -2r = 2r 4 + 19r = 21 + 2r Solving 4 + 19r = 21 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 4 + 19r + -2r = 21 + 2r + -2r Combine like terms: 19r + -2r = 17r 4 + 17r = 21 + 2r + -2r Combine like terms: 2r + -2r = 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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