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Simplifying 7 + 4r + -2 = 4r + 7 + -2r Reorder the terms: 7 + -2 + 4r = 4r + 7 + -2r Combine like terms: 7 + -2 = 5 5 + 4r = 4r + 7 + -2r Reorder the terms: 5 + 4r = 7 + 4r + -2r Combine like terms: 4r + -2r = 2r 5 + 4r = 7 + 2r Solving 5 + 4r = 7 + 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. 5 + 4r + -2r = 7 + 2r + -2r Combine like terms: 4r + -2r = 2r 5 + 2r = 7 + 2r + -2r Combine like terms: 2r + -2r = 0 5 + 2r = 7 + 0 5 + 2r = 7 Add '-5' to each side of the equation. 5 + -5 + 2r = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 2r = 7 + -5 2r = 7 + -5 Combine like terms: 7 + -5 = 2 2r = 2 Divide each side by '2'. r = 1 Simplifying r = 1
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