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Simplifying 7r + 6 = 35r + 13 Reorder the terms: 6 + 7r = 35r + 13 Reorder the terms: 6 + 7r = 13 + 35r Solving 6 + 7r = 13 + 35r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-35r' to each side of the equation. 6 + 7r + -35r = 13 + 35r + -35r Combine like terms: 7r + -35r = -28r 6 + -28r = 13 + 35r + -35r Combine like terms: 35r + -35r = 0 6 + -28r = 13 + 0 6 + -28r = 13 Add '-6' to each side of the equation. 6 + -6 + -28r = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -28r = 13 + -6 -28r = 13 + -6 Combine like terms: 13 + -6 = 7 -28r = 7 Divide each side by '-28'. r = -0.25 Simplifying r = -0.25
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