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Simplifying -1(1 + 5r) = -22 + -2r (1 * -1 + 5r * -1) = -22 + -2r (-1 + -5r) = -22 + -2r Solving -1 + -5r = -22 + -2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '2r' to each side of the equation. -1 + -5r + 2r = -22 + -2r + 2r Combine like terms: -5r + 2r = -3r -1 + -3r = -22 + -2r + 2r Combine like terms: -2r + 2r = 0 -1 + -3r = -22 + 0 -1 + -3r = -22 Add '1' to each side of the equation. -1 + 1 + -3r = -22 + 1 Combine like terms: -1 + 1 = 0 0 + -3r = -22 + 1 -3r = -22 + 1 Combine like terms: -22 + 1 = -21 -3r = -21 Divide each side by '-3'. r = 7 Simplifying r = 7
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