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Simplifying 2(3r + 11) = 7r + -3r Reorder the terms: 2(11 + 3r) = 7r + -3r (11 * 2 + 3r * 2) = 7r + -3r (22 + 6r) = 7r + -3r Combine like terms: 7r + -3r = 4r 22 + 6r = 4r Solving 22 + 6r = 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. 22 + 6r + -4r = 4r + -4r Combine like terms: 6r + -4r = 2r 22 + 2r = 4r + -4r Combine like terms: 4r + -4r = 0 22 + 2r = 0 Add '-22' to each side of the equation. 22 + -22 + 2r = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 2r = 0 + -22 2r = 0 + -22 Combine like terms: 0 + -22 = -22 2r = -22 Divide each side by '2'. r = -11 Simplifying r = -11
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