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Simplifying 8 + 2r + -3 = 8r + 21 + -4r Reorder the terms: 8 + -3 + 2r = 8r + 21 + -4r Combine like terms: 8 + -3 = 5 5 + 2r = 8r + 21 + -4r Reorder the terms: 5 + 2r = 21 + 8r + -4r Combine like terms: 8r + -4r = 4r 5 + 2r = 21 + 4r Solving 5 + 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. 5 + 2r + -4r = 21 + 4r + -4r Combine like terms: 2r + -4r = -2r 5 + -2r = 21 + 4r + -4r Combine like terms: 4r + -4r = 0 5 + -2r = 21 + 0 5 + -2r = 21 Add '-5' to each side of the equation. 5 + -5 + -2r = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -2r = 21 + -5 -2r = 21 + -5 Combine like terms: 21 + -5 = 16 -2r = 16 Divide each side by '-2'. r = -8 Simplifying r = -8
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