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Simplifying -6(2 + -4r) = 2(4r + 2) (2 * -6 + -4r * -6) = 2(4r + 2) (-12 + 24r) = 2(4r + 2) Reorder the terms: -12 + 24r = 2(2 + 4r) -12 + 24r = (2 * 2 + 4r * 2) -12 + 24r = (4 + 8r) Solving -12 + 24r = 4 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -12 + 24r + -8r = 4 + 8r + -8r Combine like terms: 24r + -8r = 16r -12 + 16r = 4 + 8r + -8r Combine like terms: 8r + -8r = 0 -12 + 16r = 4 + 0 -12 + 16r = 4 Add '12' to each side of the equation. -12 + 12 + 16r = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 16r = 4 + 12 16r = 4 + 12 Combine like terms: 4 + 12 = 16 16r = 16 Divide each side by '16'. r = 1 Simplifying r = 1
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