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