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Simplifying -6(4 + -3r) = 5r + -11 (4 * -6 + -3r * -6) = 5r + -11 (-24 + 18r) = 5r + -11 Reorder the terms: -24 + 18r = -11 + 5r Solving -24 + 18r = -11 + 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 + 18r + -5r = -11 + 5r + -5r Combine like terms: 18r + -5r = 13r -24 + 13r = -11 + 5r + -5r Combine like terms: 5r + -5r = 0 -24 + 13r = -11 + 0 -24 + 13r = -11 Add '24' to each side of the equation. -24 + 24 + 13r = -11 + 24 Combine like terms: -24 + 24 = 0 0 + 13r = -11 + 24 13r = -11 + 24 Combine like terms: -11 + 24 = 13 13r = 13 Divide each side by '13'. r = 1 Simplifying r = 1
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