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Simplifying -1(-6 + -8r) = 5(r + 12) (-6 * -1 + -8r * -1) = 5(r + 12) (6 + 8r) = 5(r + 12) Reorder the terms: 6 + 8r = 5(12 + r) 6 + 8r = (12 * 5 + r * 5) 6 + 8r = (60 + 5r) Solving 6 + 8r = 60 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 6 + 8r + -5r = 60 + 5r + -5r Combine like terms: 8r + -5r = 3r 6 + 3r = 60 + 5r + -5r Combine like terms: 5r + -5r = 0 6 + 3r = 60 + 0 6 + 3r = 60 Add '-6' to each side of the equation. 6 + -6 + 3r = 60 + -6 Combine like terms: 6 + -6 = 0 0 + 3r = 60 + -6 3r = 60 + -6 Combine like terms: 60 + -6 = 54 3r = 54 Divide each side by '3'. r = 18 Simplifying r = 18
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