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Simplifying 6r + 7 = 13 + 4r Reorder the terms: 7 + 6r = 13 + 4r Solving 7 + 6r = 13 + 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. 7 + 6r + -4r = 13 + 4r + -4r Combine like terms: 6r + -4r = 2r 7 + 2r = 13 + 4r + -4r Combine like terms: 4r + -4r = 0 7 + 2r = 13 + 0 7 + 2r = 13 Add '-7' to each side of the equation. 7 + -7 + 2r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 2r = 13 + -7 2r = 13 + -7 Combine like terms: 13 + -7 = 6 2r = 6 Divide each side by '2'. r = 3 Simplifying r = 3
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