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Simplifying 2(8r + 2) = 34 + 6r Reorder the terms: 2(2 + 8r) = 34 + 6r (2 * 2 + 8r * 2) = 34 + 6r (4 + 16r) = 34 + 6r Solving 4 + 16r = 34 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 4 + 16r + -6r = 34 + 6r + -6r Combine like terms: 16r + -6r = 10r 4 + 10r = 34 + 6r + -6r Combine like terms: 6r + -6r = 0 4 + 10r = 34 + 0 4 + 10r = 34 Add '-4' to each side of the equation. 4 + -4 + 10r = 34 + -4 Combine like terms: 4 + -4 = 0 0 + 10r = 34 + -4 10r = 34 + -4 Combine like terms: 34 + -4 = 30 10r = 30 Divide each side by '10'. r = 3 Simplifying r = 3
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