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Simplifying -6 + 5r = 1 + 8r + 8 Reorder the terms: -6 + 5r = 1 + 8 + 8r Combine like terms: 1 + 8 = 9 -6 + 5r = 9 + 8r Solving -6 + 5r = 9 + 8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-8r' to each side of the equation. -6 + 5r + -8r = 9 + 8r + -8r Combine like terms: 5r + -8r = -3r -6 + -3r = 9 + 8r + -8r Combine like terms: 8r + -8r = 0 -6 + -3r = 9 + 0 -6 + -3r = 9 Add '6' to each side of the equation. -6 + 6 + -3r = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -3r = 9 + 6 -3r = 9 + 6 Combine like terms: 9 + 6 = 15 -3r = 15 Divide each side by '-3'. r = -5 Simplifying r = -5
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