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Simplifying 6r + 7 = 13 + 7r + -6r Reorder the terms: 7 + 6r = 13 + 7r + -6r Combine like terms: 7r + -6r = 1r 7 + 6r = 13 + 1r Solving 7 + 6r = 13 + 1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1r' to each side of the equation. 7 + 6r + -1r = 13 + 1r + -1r Combine like terms: 6r + -1r = 5r 7 + 5r = 13 + 1r + -1r Combine like terms: 1r + -1r = 0 7 + 5r = 13 + 0 7 + 5r = 13 Add '-7' to each side of the equation. 7 + -7 + 5r = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 5r = 13 + -7 5r = 13 + -7 Combine like terms: 13 + -7 = 6 5r = 6 Divide each side by '5'. r = 1.2 Simplifying r = 1.2
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