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Simplifying 7r + -1(6r + -5) = 77 Reorder the terms: 7r + -1(-5 + 6r) = 77 7r + (-5 * -1 + 6r * -1) = 77 7r + (5 + -6r) = 77 Reorder the terms: 5 + 7r + -6r = 77 Combine like terms: 7r + -6r = 1r 5 + 1r = 77 Solving 5 + 1r = 77 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 + 1r = 77 + -5 Combine like terms: 5 + -5 = 0 0 + 1r = 77 + -5 1r = 77 + -5 Combine like terms: 77 + -5 = 72 1r = 72 Divide each side by '1'. r = 72 Simplifying r = 72
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