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Simplifying 8 = 4(r + 8) Reorder the terms: 8 = 4(8 + r) 8 = (8 * 4 + r * 4) 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 = 24 -4r = 24 Divide each side by '-4'. r = -6 Simplifying r = -6
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