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Simplifying -1(-1r + -4) = 12 + -3r Reorder the terms: -1(-4 + -1r) = 12 + -3r (-4 * -1 + -1r * -1) = 12 + -3r (4 + 1r) = 12 + -3r Solving 4 + 1r = 12 + -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. 4 + 1r + 3r = 12 + -3r + 3r Combine like terms: 1r + 3r = 4r 4 + 4r = 12 + -3r + 3r Combine like terms: -3r + 3r = 0 4 + 4r = 12 + 0 4 + 4r = 12 Add '-4' to each side of the equation. 4 + -4 + 4r = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 4r = 12 + -4 4r = 12 + -4 Combine like terms: 12 + -4 = 8 4r = 8 Divide each side by '4'. r = 2 Simplifying r = 2
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