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Simplifying 23 = 2 + 8(r + 5) Reorder the terms: 23 = 2 + 8(5 + r) 23 = 2 + (5 * 8 + r * 8) 23 = 2 + (40 + 8r) Combine like terms: 2 + 40 = 42 23 = 42 + 8r Solving 23 = 42 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. 23 + -8r = 42 + 8r + -8r Combine like terms: 8r + -8r = 0 23 + -8r = 42 + 0 23 + -8r = 42 Add '-23' to each side of the equation. 23 + -23 + -8r = 42 + -23 Combine like terms: 23 + -23 = 0 0 + -8r = 42 + -23 -8r = 42 + -23 Combine like terms: 42 + -23 = 19 -8r = 19 Divide each side by '-8'. r = -2.375 Simplifying r = -2.375
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