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Simplifying -3(1 + -2r) = 9 + 4r (1 * -3 + -2r * -3) = 9 + 4r (-3 + 6r) = 9 + 4r Solving -3 + 6r = 9 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -3 + 6r + -4r = 9 + 4r + -4r Combine like terms: 6r + -4r = 2r -3 + 2r = 9 + 4r + -4r Combine like terms: 4r + -4r = 0 -3 + 2r = 9 + 0 -3 + 2r = 9 Add '3' to each side of the equation. -3 + 3 + 2r = 9 + 3 Combine like terms: -3 + 3 = 0 0 + 2r = 9 + 3 2r = 9 + 3 Combine like terms: 9 + 3 = 12 2r = 12 Divide each side by '2'. r = 6 Simplifying r = 6
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