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Simplifying 8 = 5r + -7r Combine like terms: 5r + -7r = -2r 8 = -2r Solving 8 = -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. 8 + 2r = -2r + 2r Combine like terms: -2r + 2r = 0 8 + 2r = 0 Add '-8' to each side of the equation. 8 + -8 + 2r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2r = 0 + -8 2r = 0 + -8 Combine like terms: 0 + -8 = -8 2r = -8 Divide each side by '2'. r = -4 Simplifying r = -4
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