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Simplifying 26 + 8r = 2(5r + 8) Reorder the terms: 26 + 8r = 2(8 + 5r) 26 + 8r = (8 * 2 + 5r * 2) 26 + 8r = (16 + 10r) Solving 26 + 8r = 16 + 10r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-10r' to each side of the equation. 26 + 8r + -10r = 16 + 10r + -10r Combine like terms: 8r + -10r = -2r 26 + -2r = 16 + 10r + -10r Combine like terms: 10r + -10r = 0 26 + -2r = 16 + 0 26 + -2r = 16 Add '-26' to each side of the equation. 26 + -26 + -2r = 16 + -26 Combine like terms: 26 + -26 = 0 0 + -2r = 16 + -26 -2r = 16 + -26 Combine like terms: 16 + -26 = -10 -2r = -10 Divide each side by '-2'. r = 5 Simplifying r = 5
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