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Simplifying 3(2r + 14) = 2(25 + 4) Reorder the terms: 3(14 + 2r) = 2(25 + 4) (14 * 3 + 2r * 3) = 2(25 + 4) (42 + 6r) = 2(25 + 4) Combine like terms: 25 + 4 = 29 42 + 6r = 2(29) Multiply 2 * 29 42 + 6r = 58 Solving 42 + 6r = 58 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 6r = 58 + -42 Combine like terms: 42 + -42 = 0 0 + 6r = 58 + -42 6r = 58 + -42 Combine like terms: 58 + -42 = 16 6r = 16 Divide each side by '6'. r = 2.666666667 Simplifying r = 2.666666667
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