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Simplifying 4(2r + 6) + r = 0 Reorder the terms: 4(6 + 2r) + r = 0 (6 * 4 + 2r * 4) + r = 0 (24 + 8r) + r = 0 Combine like terms: 8r + r = 9r 24 + 9r = 0 Solving 24 + 9r = 0 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 9r = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 9r = 0 + -24 9r = 0 + -24 Combine like terms: 0 + -24 = -24 9r = -24 Divide each side by '9'. r = -2.666666667 Simplifying r = -2.666666667
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