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Simplifying -5(1 + -5r) = -38 + -8r (1 * -5 + -5r * -5) = -38 + -8r (-5 + 25r) = -38 + -8r Solving -5 + 25r = -38 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. -5 + 25r + 8r = -38 + -8r + 8r Combine like terms: 25r + 8r = 33r -5 + 33r = -38 + -8r + 8r Combine like terms: -8r + 8r = 0 -5 + 33r = -38 + 0 -5 + 33r = -38 Add '5' to each side of the equation. -5 + 5 + 33r = -38 + 5 Combine like terms: -5 + 5 = 0 0 + 33r = -38 + 5 33r = -38 + 5 Combine like terms: -38 + 5 = -33 33r = -33 Divide each side by '33'. r = -1 Simplifying r = -1
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