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Simplifying 6r + 7 = 41r + 12 Reorder the terms: 7 + 6r = 41r + 12 Reorder the terms: 7 + 6r = 12 + 41r Solving 7 + 6r = 12 + 41r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-41r' to each side of the equation. 7 + 6r + -41r = 12 + 41r + -41r Combine like terms: 6r + -41r = -35r 7 + -35r = 12 + 41r + -41r Combine like terms: 41r + -41r = 0 7 + -35r = 12 + 0 7 + -35r = 12 Add '-7' to each side of the equation. 7 + -7 + -35r = 12 + -7 Combine like terms: 7 + -7 = 0 0 + -35r = 12 + -7 -35r = 12 + -7 Combine like terms: 12 + -7 = 5 -35r = 5 Divide each side by '-35'. r = -0.1428571429 Simplifying r = -0.1428571429
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