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Simplifying -1r + 2(-11r + 4) = -19r Reorder the terms: -1r + 2(4 + -11r) = -19r -1r + (4 * 2 + -11r * 2) = -19r -1r + (8 + -22r) = -19r Reorder the terms: 8 + -1r + -22r = -19r Combine like terms: -1r + -22r = -23r 8 + -23r = -19r Solving 8 + -23r = -19r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '19r' to each side of the equation. 8 + -23r + 19r = -19r + 19r Combine like terms: -23r + 19r = -4r 8 + -4r = -19r + 19r Combine like terms: -19r + 19r = 0 8 + -4r = 0 Add '-8' to each side of the equation. 8 + -8 + -4r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -4r = 0 + -8 -4r = 0 + -8 Combine like terms: 0 + -8 = -8 -4r = -8 Divide each side by '-4'. r = 2 Simplifying r = 2
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