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Simplifying 1 + 5r = 4r + 9 Reorder the terms: 1 + 5r = 9 + 4r Solving 1 + 5r = 9 + 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. 1 + 5r + -4r = 9 + 4r + -4r Combine like terms: 5r + -4r = 1r 1 + 1r = 9 + 4r + -4r Combine like terms: 4r + -4r = 0 1 + 1r = 9 + 0 1 + 1r = 9 Add '-1' to each side of the equation. 1 + -1 + 1r = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 1r = 9 + -1 1r = 9 + -1 Combine like terms: 9 + -1 = 8 1r = 8 Divide each side by '1'. r = 8 Simplifying r = 8
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