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Simplifying 2(50) + 8r = 4(50 + r) Multiply 2 * 50 100 + 8r = 4(50 + r) 100 + 8r = (50 * 4 + r * 4) 100 + 8r = (200 + 4r) Solving 100 + 8r = 200 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 100 + 8r + -4r = 200 + 4r + -4r Combine like terms: 8r + -4r = 4r 100 + 4r = 200 + 4r + -4r Combine like terms: 4r + -4r = 0 100 + 4r = 200 + 0 100 + 4r = 200 Add '-100' to each side of the equation. 100 + -100 + 4r = 200 + -100 Combine like terms: 100 + -100 = 0 0 + 4r = 200 + -100 4r = 200 + -100 Combine like terms: 200 + -100 = 100 4r = 100 Divide each side by '4'. r = 25 Simplifying r = 25
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