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Simplifying 2r + 1 = -4r + 7 Reorder the terms: 1 + 2r = -4r + 7 Reorder the terms: 1 + 2r = 7 + -4r Solving 1 + 2r = 7 + -4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '4r' to each side of the equation. 1 + 2r + 4r = 7 + -4r + 4r Combine like terms: 2r + 4r = 6r 1 + 6r = 7 + -4r + 4r Combine like terms: -4r + 4r = 0 1 + 6r = 7 + 0 1 + 6r = 7 Add '-1' to each side of the equation. 1 + -1 + 6r = 7 + -1 Combine like terms: 1 + -1 = 0 0 + 6r = 7 + -1 6r = 7 + -1 Combine like terms: 7 + -1 = 6 6r = 6 Divide each side by '6'. r = 1 Simplifying r = 1
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