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Simplifying -4(-4r + -2) = -11 + -3r Reorder the terms: -4(-2 + -4r) = -11 + -3r (-2 * -4 + -4r * -4) = -11 + -3r (8 + 16r) = -11 + -3r Solving 8 + 16r = -11 + -3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '3r' to each side of the equation. 8 + 16r + 3r = -11 + -3r + 3r Combine like terms: 16r + 3r = 19r 8 + 19r = -11 + -3r + 3r Combine like terms: -3r + 3r = 0 8 + 19r = -11 + 0 8 + 19r = -11 Add '-8' to each side of the equation. 8 + -8 + 19r = -11 + -8 Combine like terms: 8 + -8 = 0 0 + 19r = -11 + -8 19r = -11 + -8 Combine like terms: -11 + -8 = -19 19r = -19 Divide each side by '19'. r = -1 Simplifying r = -1
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