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Simplifying 2r + -8 = -1r + 7 Reorder the terms: -8 + 2r = -1r + 7 Reorder the terms: -8 + 2r = 7 + -1r Solving -8 + 2r = 7 + -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. -8 + 2r + r = 7 + -1r + r Combine like terms: 2r + r = 3r -8 + 3r = 7 + -1r + r Combine like terms: -1r + r = 0 -8 + 3r = 7 + 0 -8 + 3r = 7 Add '8' to each side of the equation. -8 + 8 + 3r = 7 + 8 Combine like terms: -8 + 8 = 0 0 + 3r = 7 + 8 3r = 7 + 8 Combine like terms: 7 + 8 = 15 3r = 15 Divide each side by '3'. r = 5 Simplifying r = 5
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