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Simplifying -7r + 6 = 1 + -6r + 8 Reorder the terms: 6 + -7r = 1 + -6r + 8 Reorder the terms: 6 + -7r = 1 + 8 + -6r Combine like terms: 1 + 8 = 9 6 + -7r = 9 + -6r Solving 6 + -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. 6 + -7r + 6r = 9 + -6r + 6r Combine like terms: -7r + 6r = -1r 6 + -1r = 9 + -6r + 6r Combine like terms: -6r + 6r = 0 6 + -1r = 9 + 0 6 + -1r = 9 Add '-6' to each side of the equation. 6 + -6 + -1r = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -1r = 9 + -6 -1r = 9 + -6 Combine like terms: 9 + -6 = 3 -1r = 3 Divide each side by '-1'. r = -3 Simplifying r = -3
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