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Simplifying 6r + 2 = 41r + 7 Reorder the terms: 2 + 6r = 41r + 7 Reorder the terms: 2 + 6r = 7 + 41r Solving 2 + 6r = 7 + 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. 2 + 6r + -41r = 7 + 41r + -41r Combine like terms: 6r + -41r = -35r 2 + -35r = 7 + 41r + -41r Combine like terms: 41r + -41r = 0 2 + -35r = 7 + 0 2 + -35r = 7 Add '-2' to each side of the equation. 2 + -2 + -35r = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -35r = 7 + -2 -35r = 7 + -2 Combine like terms: 7 + -2 = 5 -35r = 5 Divide each side by '-35'. r = -0.1428571429 Simplifying r = -0.1428571429
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