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