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Simplifying (8r + 3) + -1(7r + 1) = 6 Reorder the terms: (3 + 8r) + -1(7r + 1) = 6 Remove parenthesis around (3 + 8r) 3 + 8r + -1(7r + 1) = 6 Reorder the terms: 3 + 8r + -1(1 + 7r) = 6 3 + 8r + (1 * -1 + 7r * -1) = 6 3 + 8r + (-1 + -7r) = 6 Reorder the terms: 3 + -1 + 8r + -7r = 6 Combine like terms: 3 + -1 = 2 2 + 8r + -7r = 6 Combine like terms: 8r + -7r = 1r 2 + 1r = 6 Solving 2 + 1r = 6 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1r = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 1r = 6 + -2 1r = 6 + -2 Combine like terms: 6 + -2 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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