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Simplifying 2(2 + -2r) = -2(r + 5) (2 * 2 + -2r * 2) = -2(r + 5) (4 + -4r) = -2(r + 5) Reorder the terms: 4 + -4r = -2(5 + r) 4 + -4r = (5 * -2 + r * -2) 4 + -4r = (-10 + -2r) Solving 4 + -4r = -10 + -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. 4 + -4r + 2r = -10 + -2r + 2r Combine like terms: -4r + 2r = -2r 4 + -2r = -10 + -2r + 2r Combine like terms: -2r + 2r = 0 4 + -2r = -10 + 0 4 + -2r = -10 Add '-4' to each side of the equation. 4 + -4 + -2r = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = -10 + -4 -2r = -10 + -4 Combine like terms: -10 + -4 = -14 -2r = -14 Divide each side by '-2'. r = 7 Simplifying r = 7
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