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Simplifying 3(2r + 4) = 42 Reorder the terms: 3(4 + 2r) = 42 (4 * 3 + 2r * 3) = 42 (12 + 6r) = 42 Solving 12 + 6r = 42 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 6r = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 6r = 42 + -12 6r = 42 + -12 Combine like terms: 42 + -12 = 30 6r = 30 Divide each side by '6'. r = 5 Simplifying r = 5
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