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Simplifying -2r + 1 = -4r + 9 Reorder the terms: 1 + -2r = -4r + 9 Reorder the terms: 1 + -2r = 9 + -4r Solving 1 + -2r = 9 + -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 = 9 + -4r + 4r Combine like terms: -2r + 4r = 2r 1 + 2r = 9 + -4r + 4r Combine like terms: -4r + 4r = 0 1 + 2r = 9 + 0 1 + 2r = 9 Add '-1' to each side of the equation. 1 + -1 + 2r = 9 + -1 Combine like terms: 1 + -1 = 0 0 + 2r = 9 + -1 2r = 9 + -1 Combine like terms: 9 + -1 = 8 2r = 8 Divide each side by '2'. r = 4 Simplifying r = 4
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