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Simplifying 8 + 2r + -5 = 9r + 21 + -5r Reorder the terms: 8 + -5 + 2r = 9r + 21 + -5r Combine like terms: 8 + -5 = 3 3 + 2r = 9r + 21 + -5r Reorder the terms: 3 + 2r = 21 + 9r + -5r Combine like terms: 9r + -5r = 4r 3 + 2r = 21 + 4r Solving 3 + 2r = 21 + 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. 3 + 2r + -4r = 21 + 4r + -4r Combine like terms: 2r + -4r = -2r 3 + -2r = 21 + 4r + -4r Combine like terms: 4r + -4r = 0 3 + -2r = 21 + 0 3 + -2r = 21 Add '-3' to each side of the equation. 3 + -3 + -2r = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -2r = 21 + -3 -2r = 21 + -3 Combine like terms: 21 + -3 = 18 -2r = 18 Divide each side by '-2'. r = -9 Simplifying r = -9
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