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Simplifying 4(8r + 2) = 34 + 6r Reorder the terms: 4(2 + 8r) = 34 + 6r (2 * 4 + 8r * 4) = 34 + 6r (8 + 32r) = 34 + 6r Solving 8 + 32r = 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. 8 + 32r + -6r = 34 + 6r + -6r Combine like terms: 32r + -6r = 26r 8 + 26r = 34 + 6r + -6r Combine like terms: 6r + -6r = 0 8 + 26r = 34 + 0 8 + 26r = 34 Add '-8' to each side of the equation. 8 + -8 + 26r = 34 + -8 Combine like terms: 8 + -8 = 0 0 + 26r = 34 + -8 26r = 34 + -8 Combine like terms: 34 + -8 = 26 26r = 26 Divide each side by '26'. r = 1 Simplifying r = 1
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