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Simplifying 2(4 + -2r) = -2(1r + 5) (4 * 2 + -2r * 2) = -2(1r + 5) (8 + -4r) = -2(1r + 5) Reorder the terms: 8 + -4r = -2(5 + 1r) 8 + -4r = (5 * -2 + 1r * -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 = -2r 8 + -2r = -10 + -2r + 2r Combine like terms: -2r + 2r = 0 8 + -2r = -10 + 0 8 + -2r = -10 Add '-8' to each side of the equation. 8 + -8 + -2r = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -2r = -10 + -8 -2r = -10 + -8 Combine like terms: -10 + -8 = -18 -2r = -18 Divide each side by '-2'. r = 9 Simplifying r = 9
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