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Simplifying 2(4 + -2r) = 2(r + 5) (4 * 2 + -2r * 2) = 2(r + 5) (8 + -4r) = 2(r + 5) Reorder the terms: 8 + -4r = 2(5 + r) 8 + -4r = (5 * 2 + r * 2) 8 + -4r = (10 + 2r) Solving 8 + -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. 8 + -4r + -2r = 10 + 2r + -2r Combine like terms: -4r + -2r = -6r 8 + -6r = 10 + 2r + -2r Combine like terms: 2r + -2r = 0 8 + -6r = 10 + 0 8 + -6r = 10 Add '-8' to each side of the equation. 8 + -8 + -6r = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -6r = 10 + -8 -6r = 10 + -8 Combine like terms: 10 + -8 = 2 -6r = 2 Divide each side by '-6'. r = -0.3333333333 Simplifying r = -0.3333333333
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