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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 = 5 5 + 8r + 4r = 14 Combine like terms: 8r + 4r = 12r 5 + 12r = 14 Solving 5 + 12r = 14 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 12r = 14 + -5 Combine like terms: 5 + -5 = 0 0 + 12r = 14 + -5 12r = 14 + -5 Combine like terms: 14 + -5 = 9 12r = 9 Divide each side by '12'. r = 0.75 Simplifying r = 0.75
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