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Simplifying 7x(6 + r) = 0 (6 * 7x + r * 7x) = 0 Reorder the terms: (7rx + 42x) = 0 (7rx + 42x) = 0 Solving 7rx + 42x = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42x' to each side of the equation. 7rx + 42x + -42x = 0 + -42x Combine like terms: 42x + -42x = 0 7rx + 0 = 0 + -42x 7rx = 0 + -42x Remove the zero: 7rx = -42x Divide each side by '7x'. r = -6 Simplifying r = -6
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