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Simplifying -2 + 8(r + 2) = 38 + 5r Reorder the terms: -2 + 8(2 + r) = 38 + 5r -2 + (2 * 8 + r * 8) = 38 + 5r -2 + (16 + 8r) = 38 + 5r Combine like terms: -2 + 16 = 14 14 + 8r = 38 + 5r Solving 14 + 8r = 38 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 14 + 8r + -5r = 38 + 5r + -5r Combine like terms: 8r + -5r = 3r 14 + 3r = 38 + 5r + -5r Combine like terms: 5r + -5r = 0 14 + 3r = 38 + 0 14 + 3r = 38 Add '-14' to each side of the equation. 14 + -14 + 3r = 38 + -14 Combine like terms: 14 + -14 = 0 0 + 3r = 38 + -14 3r = 38 + -14 Combine like terms: 38 + -14 = 24 3r = 24 Divide each side by '3'. r = 8 Simplifying r = 8
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