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Simplifying -1(r + 6) = 22 + -5r Reorder the terms: -1(6 + r) = 22 + -5r (6 * -1 + r * -1) = 22 + -5r (-6 + -1r) = 22 + -5r Solving -6 + -1r = 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. -6 + -1r + 5r = 22 + -5r + 5r Combine like terms: -1r + 5r = 4r -6 + 4r = 22 + -5r + 5r Combine like terms: -5r + 5r = 0 -6 + 4r = 22 + 0 -6 + 4r = 22 Add '6' to each side of the equation. -6 + 6 + 4r = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4r = 22 + 6 4r = 22 + 6 Combine like terms: 22 + 6 = 28 4r = 28 Divide each side by '4'. r = 7 Simplifying r = 7
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