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Simplifying -6(-4r + 4) = 33 + 5r Reorder the terms: -6(4 + -4r) = 33 + 5r (4 * -6 + -4r * -6) = 33 + 5r (-24 + 24r) = 33 + 5r Solving -24 + 24r = 33 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. -24 + 24r + -5r = 33 + 5r + -5r Combine like terms: 24r + -5r = 19r -24 + 19r = 33 + 5r + -5r Combine like terms: 5r + -5r = 0 -24 + 19r = 33 + 0 -24 + 19r = 33 Add '24' to each side of the equation. -24 + 24 + 19r = 33 + 24 Combine like terms: -24 + 24 = 0 0 + 19r = 33 + 24 19r = 33 + 24 Combine like terms: 33 + 24 = 57 19r = 57 Divide each side by '19'. r = 3 Simplifying r = 3
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