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Simplifying 7r + 5 = 35r + 12 Reorder the terms: 5 + 7r = 35r + 12 Reorder the terms: 5 + 7r = 12 + 35r Solving 5 + 7r = 12 + 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. 5 + 7r + -35r = 12 + 35r + -35r Combine like terms: 7r + -35r = -28r 5 + -28r = 12 + 35r + -35r Combine like terms: 35r + -35r = 0 5 + -28r = 12 + 0 5 + -28r = 12 Add '-5' to each side of the equation. 5 + -5 + -28r = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -28r = 12 + -5 -28r = 12 + -5 Combine like terms: 12 + -5 = 7 -28r = 7 Divide each side by '-28'. r = -0.25 Simplifying r = -0.25
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