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Simplifying -3r + 4 = 2 + -2r + 1 Reorder the terms: 4 + -3r = 2 + -2r + 1 Reorder the terms: 4 + -3r = 2 + 1 + -2r Combine like terms: 2 + 1 = 3 4 + -3r = 3 + -2r Solving 4 + -3r = 3 + -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. 4 + -3r + 2r = 3 + -2r + 2r Combine like terms: -3r + 2r = -1r 4 + -1r = 3 + -2r + 2r Combine like terms: -2r + 2r = 0 4 + -1r = 3 + 0 4 + -1r = 3 Add '-4' to each side of the equation. 4 + -4 + -1r = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -1r = 3 + -4 -1r = 3 + -4 Combine like terms: 3 + -4 = -1 -1r = -1 Divide each side by '-1'. r = 1 Simplifying r = 1
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