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Simplifying -6(3r + -5) = -22 + -5r Reorder the terms: -6(-5 + 3r) = -22 + -5r (-5 * -6 + 3r * -6) = -22 + -5r (30 + -18r) = -22 + -5r Solving 30 + -18r = -22 + -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. 30 + -18r + 5r = -22 + -5r + 5r Combine like terms: -18r + 5r = -13r 30 + -13r = -22 + -5r + 5r Combine like terms: -5r + 5r = 0 30 + -13r = -22 + 0 30 + -13r = -22 Add '-30' to each side of the equation. 30 + -30 + -13r = -22 + -30 Combine like terms: 30 + -30 = 0 0 + -13r = -22 + -30 -13r = -22 + -30 Combine like terms: -22 + -30 = -52 -13r = -52 Divide each side by '-13'. r = 4 Simplifying r = 4
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