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Simplifying 2(r + 4) = -1(2r + 2) + 2r Reorder the terms: 2(4 + r) = -1(2r + 2) + 2r (4 * 2 + r * 2) = -1(2r + 2) + 2r (8 + 2r) = -1(2r + 2) + 2r Reorder the terms: 8 + 2r = -1(2 + 2r) + 2r 8 + 2r = (2 * -1 + 2r * -1) + 2r 8 + 2r = (-2 + -2r) + 2r Combine like terms: -2r + 2r = 0 8 + 2r = -2 + 0 8 + 2r = -2 Solving 8 + 2r = -2 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 2r = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = -2 + -8 2r = -2 + -8 Combine like terms: -2 + -8 = -10 2r = -10 Divide each side by '2'. r = -5 Simplifying r = -5
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