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Simplifying -2 + r = 7 + -1r + 1 Reorder the terms: -2 + r = 7 + 1 + -1r Combine like terms: 7 + 1 = 8 -2 + r = 8 + -1r Solving -2 + r = 8 + -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. -2 + r + r = 8 + -1r + r Combine like terms: r + r = 2r -2 + 2r = 8 + -1r + r Combine like terms: -1r + r = 0 -2 + 2r = 8 + 0 -2 + 2r = 8 Add '2' to each side of the equation. -2 + 2 + 2r = 8 + 2 Combine like terms: -2 + 2 = 0 0 + 2r = 8 + 2 2r = 8 + 2 Combine like terms: 8 + 2 = 10 2r = 10 Divide each side by '2'. r = 5 Simplifying r = 5
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