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Simplifying r + -8 = -2 + 7r Reorder the terms: -8 + r = -2 + 7r Solving -8 + r = -2 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -8 + r + -7r = -2 + 7r + -7r Combine like terms: r + -7r = -6r -8 + -6r = -2 + 7r + -7r Combine like terms: 7r + -7r = 0 -8 + -6r = -2 + 0 -8 + -6r = -2 Add '8' to each side of the equation. -8 + 8 + -6r = -2 + 8 Combine like terms: -8 + 8 = 0 0 + -6r = -2 + 8 -6r = -2 + 8 Combine like terms: -2 + 8 = 6 -6r = 6 Divide each side by '-6'. r = -1 Simplifying r = -1
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