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Simplifying -1(8r + -4) = -8 + -4(r + -8) Reorder the terms: -1(-4 + 8r) = -8 + -4(r + -8) (-4 * -1 + 8r * -1) = -8 + -4(r + -8) (4 + -8r) = -8 + -4(r + -8) Reorder the terms: 4 + -8r = -8 + -4(-8 + r) 4 + -8r = -8 + (-8 * -4 + r * -4) 4 + -8r = -8 + (32 + -4r) Combine like terms: -8 + 32 = 24 4 + -8r = 24 + -4r Solving 4 + -8r = 24 + -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. 4 + -8r + 4r = 24 + -4r + 4r Combine like terms: -8r + 4r = -4r 4 + -4r = 24 + -4r + 4r Combine like terms: -4r + 4r = 0 4 + -4r = 24 + 0 4 + -4r = 24 Add '-4' to each side of the equation. 4 + -4 + -4r = 24 + -4 Combine like terms: 4 + -4 = 0 0 + -4r = 24 + -4 -4r = 24 + -4 Combine like terms: 24 + -4 = 20 -4r = 20 Divide each side by '-4'. r = -5 Simplifying r = -5
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