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Simplifying 1 + 4r = 2r + 5 Reorder the terms: 1 + 4r = 5 + 2r Solving 1 + 4r = 5 + 2r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2r' to each side of the equation. 1 + 4r + -2r = 5 + 2r + -2r Combine like terms: 4r + -2r = 2r 1 + 2r = 5 + 2r + -2r Combine like terms: 2r + -2r = 0 1 + 2r = 5 + 0 1 + 2r = 5 Add '-1' to each side of the equation. 1 + -1 + 2r = 5 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 5 + -1 2r = 5 + -1 Combine like terms: 5 + -1 = 4 2r = 4 Divide each side by '2'. r = 2 Simplifying r = 2
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