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Simplifying 9 + 10r + -5 = 8r + 16 + -4r Reorder the terms: 9 + -5 + 10r = 8r + 16 + -4r Combine like terms: 9 + -5 = 4 4 + 10r = 8r + 16 + -4r Reorder the terms: 4 + 10r = 16 + 8r + -4r Combine like terms: 8r + -4r = 4r 4 + 10r = 16 + 4r Solving 4 + 10r = 16 + 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. 4 + 10r + -4r = 16 + 4r + -4r Combine like terms: 10r + -4r = 6r 4 + 6r = 16 + 4r + -4r Combine like terms: 4r + -4r = 0 4 + 6r = 16 + 0 4 + 6r = 16 Add '-4' to each side of the equation. 4 + -4 + 6r = 16 + -4 Combine like terms: 4 + -4 = 0 0 + 6r = 16 + -4 6r = 16 + -4 Combine like terms: 16 + -4 = 12 6r = 12 Divide each side by '6'. r = 2 Simplifying r = 2
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