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Simplifying 3 + 7(4r + 2) = 3r + 17 Reorder the terms: 3 + 7(2 + 4r) = 3r + 17 3 + (2 * 7 + 4r * 7) = 3r + 17 3 + (14 + 28r) = 3r + 17 Combine like terms: 3 + 14 = 17 17 + 28r = 3r + 17 Reorder the terms: 17 + 28r = 17 + 3r Add '-17' to each side of the equation. 17 + -17 + 28r = 17 + -17 + 3r Combine like terms: 17 + -17 = 0 0 + 28r = 17 + -17 + 3r 28r = 17 + -17 + 3r Combine like terms: 17 + -17 = 0 28r = 0 + 3r 28r = 3r Solving 28r = 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 28r + -3r = 3r + -3r Combine like terms: 28r + -3r = 25r 25r = 3r + -3r Combine like terms: 3r + -3r = 0 25r = 0 Divide each side by '25'. r = 0 Simplifying r = 0
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