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Simplifying 6r + 7 = 13 + 3r Reorder the terms: 7 + 6r = 13 + 3r Solving 7 + 6r = 13 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 7 + 6r + -3r = 13 + 3r + -3r Combine like terms: 6r + -3r = 3r 7 + 3r = 13 + 3r + -3r Combine like terms: 3r + -3r = 0 7 + 3r = 13 + 0 7 + 3r = 13 Add '-7' to each side of the equation. 7 + -7 + 3r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 3r = 13 + -7 3r = 13 + -7 Combine like terms: 13 + -7 = 6 3r = 6 Divide each side by '3'. r = 2 Simplifying r = 2
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