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Simplifying 2r + -7 = 1 + -2r Reorder the terms: -7 + 2r = 1 + -2r Solving -7 + 2r = 1 + -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. -7 + 2r + 2r = 1 + -2r + 2r Combine like terms: 2r + 2r = 4r -7 + 4r = 1 + -2r + 2r Combine like terms: -2r + 2r = 0 -7 + 4r = 1 + 0 -7 + 4r = 1 Add '7' to each side of the equation. -7 + 7 + 4r = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4r = 1 + 7 4r = 1 + 7 Combine like terms: 1 + 7 = 8 4r = 8 Divide each side by '4'. r = 2 Simplifying r = 2
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