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Simplifying 4(7r + 6) = -21 Reorder the terms: 4(6 + 7r) = -21 (6 * 4 + 7r * 4) = -21 (24 + 28r) = -21 Solving 24 + 28r = -21 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 + 28r = -21 + -24 Combine like terms: 24 + -24 = 0 0 + 28r = -21 + -24 28r = -21 + -24 Combine like terms: -21 + -24 = -45 28r = -45 Divide each side by '28'. r = -1.607142857 Simplifying r = -1.607142857
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