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Simplifying 4(6r + 8) = -122 Reorder the terms: 4(8 + 6r) = -122 (8 * 4 + 6r * 4) = -122 (32 + 24r) = -122 Solving 32 + 24r = -122 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 24r = -122 + -32 Combine like terms: 32 + -32 = 0 0 + 24r = -122 + -32 24r = -122 + -32 Combine like terms: -122 + -32 = -154 24r = -154 Divide each side by '24'. r = -6.416666667 Simplifying r = -6.416666667
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