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Simplifying 4r + 1 + -2r = 7 + 3r + -5 Reorder the terms: 1 + 4r + -2r = 7 + 3r + -5 Combine like terms: 4r + -2r = 2r 1 + 2r = 7 + 3r + -5 Reorder the terms: 1 + 2r = 7 + -5 + 3r Combine like terms: 7 + -5 = 2 1 + 2r = 2 + 3r Solving 1 + 2r = 2 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 1 + 2r + -3r = 2 + 3r + -3r Combine like terms: 2r + -3r = -1r 1 + -1r = 2 + 3r + -3r Combine like terms: 3r + -3r = 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 = 1 -1r = 1 Divide each side by '-1'. r = -1 Simplifying r = -1
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