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Simplifying (8r + 6) + (4r + 1) = 14 Reorder the terms: (6 + 8r) + (4r + 1) = 14 Remove parenthesis around (6 + 8r) 6 + 8r + (4r + 1) = 14 Reorder the terms: 6 + 8r + (1 + 4r) = 14 Remove parenthesis around (1 + 4r) 6 + 8r + 1 + 4r = 14 Reorder the terms: 6 + 1 + 8r + 4r = 14 Combine like terms: 6 + 1 = 7 7 + 8r + 4r = 14 Combine like terms: 8r + 4r = 12r 7 + 12r = 14 Solving 7 + 12r = 14 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 12r = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 12r = 14 + -7 12r = 14 + -7 Combine like terms: 14 + -7 = 7 12r = 7 Divide each side by '12'. r = 0.5833333333 Simplifying r = 0.5833333333
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