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Simplifying -7(-7 + -1r) = -5r + -23 (-7 * -7 + -1r * -7) = -5r + -23 (49 + 7r) = -5r + -23 Reorder the terms: 49 + 7r = -23 + -5r Solving 49 + 7r = -23 + -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. 49 + 7r + 5r = -23 + -5r + 5r Combine like terms: 7r + 5r = 12r 49 + 12r = -23 + -5r + 5r Combine like terms: -5r + 5r = 0 49 + 12r = -23 + 0 49 + 12r = -23 Add '-49' to each side of the equation. 49 + -49 + 12r = -23 + -49 Combine like terms: 49 + -49 = 0 0 + 12r = -23 + -49 12r = -23 + -49 Combine like terms: -23 + -49 = -72 12r = -72 Divide each side by '12'. r = -6 Simplifying r = -6
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