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