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Simplifying 4r + 1 = 5r + -2 Reorder the terms: 1 + 4r = 5r + -2 Reorder the terms: 1 + 4r = -2 + 5r Solving 1 + 4r = -2 + 5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-5r' to each side of the equation. 1 + 4r + -5r = -2 + 5r + -5r Combine like terms: 4r + -5r = -1r 1 + -1r = -2 + 5r + -5r Combine like terms: 5r + -5r = 0 1 + -1r = -2 + 0 1 + -1r = -2 Add '-1' to each side of the equation. 1 + -1 + -1r = -2 + -1 Combine like terms: 1 + -1 = 0 0 + -1r = -2 + -1 -1r = -2 + -1 Combine like terms: -2 + -1 = -3 -1r = -3 Divide each side by '-1'. r = 3 Simplifying r = 3
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