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