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Simplifying 8 = 8r + -4(r + 8) Reorder the terms: 8 = 8r + -4(8 + r) 8 = 8r + (8 * -4 + r * -4) 8 = 8r + (-32 + -4r) Reorder the terms: 8 = -32 + 8r + -4r Combine like terms: 8r + -4r = 4r 8 = -32 + 4r Solving 8 = -32 + 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. 8 + -4r = -32 + 4r + -4r Combine like terms: 4r + -4r = 0 8 + -4r = -32 + 0 8 + -4r = -32 Add '-8' to each side of the equation. 8 + -8 + -4r = -32 + -8 Combine like terms: 8 + -8 = 0 0 + -4r = -32 + -8 -4r = -32 + -8 Combine like terms: -32 + -8 = -40 -4r = -40 Divide each side by '-4'. r = 10 Simplifying r = 10
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