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Simplifying -1(5 + -4r) = 5 + -1r (5 * -1 + -4r * -1) = 5 + -1r (-5 + 4r) = 5 + -1r Solving -5 + 4r = 5 + -1r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add 'r' to each side of the equation. -5 + 4r + r = 5 + -1r + r Combine like terms: 4r + r = 5r -5 + 5r = 5 + -1r + r Combine like terms: -1r + r = 0 -5 + 5r = 5 + 0 -5 + 5r = 5 Add '5' to each side of the equation. -5 + 5 + 5r = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 5r = 5 + 5 5r = 5 + 5 Combine like terms: 5 + 5 = 10 5r = 10 Divide each side by '5'. r = 2 Simplifying r = 2
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