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Simplifying -4(r + -3) = 8 + -5r Reorder the terms: -4(-3 + r) = 8 + -5r (-3 * -4 + r * -4) = 8 + -5r (12 + -4r) = 8 + -5r Solving 12 + -4r = 8 + -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. 12 + -4r + 5r = 8 + -5r + 5r Combine like terms: -4r + 5r = 1r 12 + 1r = 8 + -5r + 5r Combine like terms: -5r + 5r = 0 12 + 1r = 8 + 0 12 + 1r = 8 Add '-12' to each side of the equation. 12 + -12 + 1r = 8 + -12 Combine like terms: 12 + -12 = 0 0 + 1r = 8 + -12 1r = 8 + -12 Combine like terms: 8 + -12 = -4 1r = -4 Divide each side by '1'. r = -4 Simplifying r = -4
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