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Simplifying -8(r + -2) = 4(1 + -1r) Reorder the terms: -8(-2 + r) = 4(1 + -1r) (-2 * -8 + r * -8) = 4(1 + -1r) (16 + -8r) = 4(1 + -1r) 16 + -8r = (1 * 4 + -1r * 4) 16 + -8r = (4 + -4r) Solving 16 + -8r = 4 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 16 + -8r + 4r = 4 + -4r + 4r Combine like terms: -8r + 4r = -4r 16 + -4r = 4 + -4r + 4r Combine like terms: -4r + 4r = 0 16 + -4r = 4 + 0 16 + -4r = 4 Add '-16' to each side of the equation. 16 + -16 + -4r = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -4r = 4 + -16 -4r = 4 + -16 Combine like terms: 4 + -16 = -12 -4r = -12 Divide each side by '-4'. r = 3 Simplifying r = 3
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