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Simplifying 2(2r + 4) = 2r + -4 Reorder the terms: 2(4 + 2r) = 2r + -4 (4 * 2 + 2r * 2) = 2r + -4 (8 + 4r) = 2r + -4 Reorder the terms: 8 + 4r = -4 + 2r Solving 8 + 4r = -4 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 8 + 4r + -2r = -4 + 2r + -2r Combine like terms: 4r + -2r = 2r 8 + 2r = -4 + 2r + -2r Combine like terms: 2r + -2r = 0 8 + 2r = -4 + 0 8 + 2r = -4 Add '-8' to each side of the equation. 8 + -8 + 2r = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = -4 + -8 2r = -4 + -8 Combine like terms: -4 + -8 = -12 2r = -12 Divide each side by '2'. r = -6 Simplifying r = -6
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