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Simplifying 6(2r + 5) = -32 + 9 Reorder the terms: 6(5 + 2r) = -32 + 9 (5 * 6 + 2r * 6) = -32 + 9 (30 + 12r) = -32 + 9 Combine like terms: -32 + 9 = -23 30 + 12r = -23 Solving 30 + 12r = -23 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + 12r = -23 + -30 Combine like terms: 30 + -30 = 0 0 + 12r = -23 + -30 12r = -23 + -30 Combine like terms: -23 + -30 = -53 12r = -53 Divide each side by '12'. r = -4.416666667 Simplifying r = -4.416666667
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