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Simplifying 7r + 2 = 35r + 6 Reorder the terms: 2 + 7r = 35r + 6 Reorder the terms: 2 + 7r = 6 + 35r Solving 2 + 7r = 6 + 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. 2 + 7r + -35r = 6 + 35r + -35r Combine like terms: 7r + -35r = -28r 2 + -28r = 6 + 35r + -35r Combine like terms: 35r + -35r = 0 2 + -28r = 6 + 0 2 + -28r = 6 Add '-2' to each side of the equation. 2 + -2 + -28r = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -28r = 6 + -2 -28r = 6 + -2 Combine like terms: 6 + -2 = 4 -28r = 4 Divide each side by '-28'. r = -0.1428571429 Simplifying r = -0.1428571429
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