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Simplifying 12x(r + (-6)) = 0 12x(r + -6) = 0 Reorder the terms: 12x(-6 + r) = 0 (-6 * 12x + r * 12x) = 0 Reorder the terms: (12rx + -72x) = 0 (12rx + -72x) = 0 Solving 12rx + -72x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '72x' to each side of the equation. 12rx + -72x + 72x = 0 + 72x Combine like terms: -72x + 72x = 0 12rx + 0 = 0 + 72x 12rx = 0 + 72x Remove the zero: 12rx = 72x Divide each side by '12x'. r = 6 Simplifying r = 6
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