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Simplifying -6(1 + -3r) = -19 + 5r (1 * -6 + -3r * -6) = -19 + 5r (-6 + 18r) = -19 + 5r Solving -6 + 18r = -19 + 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. -6 + 18r + -5r = -19 + 5r + -5r Combine like terms: 18r + -5r = 13r -6 + 13r = -19 + 5r + -5r Combine like terms: 5r + -5r = 0 -6 + 13r = -19 + 0 -6 + 13r = -19 Add '6' to each side of the equation. -6 + 6 + 13r = -19 + 6 Combine like terms: -6 + 6 = 0 0 + 13r = -19 + 6 13r = -19 + 6 Combine like terms: -19 + 6 = -13 13r = -13 Divide each side by '13'. r = -1 Simplifying r = -1
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