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Simplifying -6(7r + 4) = 24 Reorder the terms: -6(4 + 7r) = 24 (4 * -6 + 7r * -6) = 24 (-24 + -42r) = 24 Solving -24 + -42r = 24 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 + -42r = 24 + 24 Combine like terms: -24 + 24 = 0 0 + -42r = 24 + 24 -42r = 24 + 24 Combine like terms: 24 + 24 = 48 -42r = 48 Divide each side by '-42'. r = -1.142857143 Simplifying r = -1.142857143
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