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Simplifying -8(r + -8) = 9 + 3r Reorder the terms: -8(-8 + r) = 9 + 3r (-8 * -8 + r * -8) = 9 + 3r (64 + -8r) = 9 + 3r Solving 64 + -8r = 9 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 64 + -8r + -3r = 9 + 3r + -3r Combine like terms: -8r + -3r = -11r 64 + -11r = 9 + 3r + -3r Combine like terms: 3r + -3r = 0 64 + -11r = 9 + 0 64 + -11r = 9 Add '-64' to each side of the equation. 64 + -64 + -11r = 9 + -64 Combine like terms: 64 + -64 = 0 0 + -11r = 9 + -64 -11r = 9 + -64 Combine like terms: 9 + -64 = -55 -11r = -55 Divide each side by '-11'. r = 5 Simplifying r = 5
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