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Simplifying 8r + 5 = 6r + 1 Reorder the terms: 5 + 8r = 6r + 1 Reorder the terms: 5 + 8r = 1 + 6r Solving 5 + 8r = 1 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 5 + 8r + -6r = 1 + 6r + -6r Combine like terms: 8r + -6r = 2r 5 + 2r = 1 + 6r + -6r Combine like terms: 6r + -6r = 0 5 + 2r = 1 + 0 5 + 2r = 1 Add '-5' to each side of the equation. 5 + -5 + 2r = 1 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = 1 + -5 2r = 1 + -5 Combine like terms: 1 + -5 = -4 2r = -4 Divide each side by '2'. r = -2 Simplifying r = -2
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