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Simplifying -6r + 7 + 1 = 3r + -8r Reorder the terms: 7 + 1 + -6r = 3r + -8r Combine like terms: 7 + 1 = 8 8 + -6r = 3r + -8r Combine like terms: 3r + -8r = -5r 8 + -6r = -5r Solving 8 + -6r = -5r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '5r' to each side of the equation. 8 + -6r + 5r = -5r + 5r Combine like terms: -6r + 5r = -1r 8 + -1r = -5r + 5r Combine like terms: -5r + 5r = 0 8 + -1r = 0 Add '-8' to each side of the equation. 8 + -8 + -1r = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 0 + -8 -1r = 0 + -8 Combine like terms: 0 + -8 = -8 -1r = -8 Divide each side by '-1'. r = 8 Simplifying r = 8
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