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Simplifying 9r + 6 = 8r + 13 Reorder the terms: 6 + 9r = 8r + 13 Reorder the terms: 6 + 9r = 13 + 8r Solving 6 + 9r = 13 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 6 + 9r + -8r = 13 + 8r + -8r Combine like terms: 9r + -8r = 1r 6 + 1r = 13 + 8r + -8r Combine like terms: 8r + -8r = 0 6 + 1r = 13 + 0 6 + 1r = 13 Add '-6' to each side of the equation. 6 + -6 + 1r = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 1r = 13 + -6 1r = 13 + -6 Combine like terms: 13 + -6 = 7 1r = 7 Divide each side by '1'. r = 7 Simplifying r = 7
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