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Simplifying 6r + 5 = 8r + 2 + 2r Reorder the terms: 5 + 6r = 8r + 2 + 2r Reorder the terms: 5 + 6r = 2 + 8r + 2r Combine like terms: 8r + 2r = 10r 5 + 6r = 2 + 10r Solving 5 + 6r = 2 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 5 + 6r + -10r = 2 + 10r + -10r Combine like terms: 6r + -10r = -4r 5 + -4r = 2 + 10r + -10r Combine like terms: 10r + -10r = 0 5 + -4r = 2 + 0 5 + -4r = 2 Add '-5' to each side of the equation. 5 + -5 + -4r = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -4r = 2 + -5 -4r = 2 + -5 Combine like terms: 2 + -5 = -3 -4r = -3 Divide each side by '-4'. r = 0.75 Simplifying r = 0.75
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