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Simplifying -2(1 + -7r) = 38 + 6r (1 * -2 + -7r * -2) = 38 + 6r (-2 + 14r) = 38 + 6r Solving -2 + 14r = 38 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. -2 + 14r + -6r = 38 + 6r + -6r Combine like terms: 14r + -6r = 8r -2 + 8r = 38 + 6r + -6r Combine like terms: 6r + -6r = 0 -2 + 8r = 38 + 0 -2 + 8r = 38 Add '2' to each side of the equation. -2 + 2 + 8r = 38 + 2 Combine like terms: -2 + 2 = 0 0 + 8r = 38 + 2 8r = 38 + 2 Combine like terms: 38 + 2 = 40 8r = 40 Divide each side by '8'. r = 5 Simplifying r = 5
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