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Simplifying 8(3 + r) = 4r + -4 (3 * 8 + r * 8) = 4r + -4 (24 + 8r) = 4r + -4 Reorder the terms: 24 + 8r = -4 + 4r Solving 24 + 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. 24 + 8r + -4r = -4 + 4r + -4r Combine like terms: 8r + -4r = 4r 24 + 4r = -4 + 4r + -4r Combine like terms: 4r + -4r = 0 24 + 4r = -4 + 0 24 + 4r = -4 Add '-24' to each side of the equation. 24 + -24 + 4r = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 4r = -4 + -24 4r = -4 + -24 Combine like terms: -4 + -24 = -28 4r = -28 Divide each side by '4'. r = -7 Simplifying r = -7
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