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Simplifying 2(4 + -2r) = -2(r + s) (4 * 2 + -2r * 2) = -2(r + s) (8 + -4r) = -2(r + s) 8 + -4r = (r * -2 + s * -2) 8 + -4r = (-2r + -2s) Solving 8 + -4r = -2r + -2s 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 = -2r + 2r + -2s Combine like terms: -4r + 2r = -2r 8 + -2r = -2r + 2r + -2s Combine like terms: -2r + 2r = 0 8 + -2r = 0 + -2s 8 + -2r = -2s Add '-8' to each side of the equation. 8 + -8 + -2r = -8 + -2s Combine like terms: 8 + -8 = 0 0 + -2r = -8 + -2s -2r = -8 + -2s Divide each side by '-2'. r = 4 + s Simplifying r = 4 + s
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