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Simplifying -7r + 8 = 2 + -6r + 7 Reorder the terms: 8 + -7r = 2 + -6r + 7 Reorder the terms: 8 + -7r = 2 + 7 + -6r Combine like terms: 2 + 7 = 9 8 + -7r = 9 + -6r Solving 8 + -7r = 9 + -6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '6r' to each side of the equation. 8 + -7r + 6r = 9 + -6r + 6r Combine like terms: -7r + 6r = -1r 8 + -1r = 9 + -6r + 6r Combine like terms: -6r + 6r = 0 8 + -1r = 9 + 0 8 + -1r = 9 Add '-8' to each side of the equation. 8 + -8 + -1r = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 9 + -8 -1r = 9 + -8 Combine like terms: 9 + -8 = 1 -1r = 1 Divide each side by '-1'. r = -1 Simplifying r = -1
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