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Simplifying -5r + -6 = 4r + -1r + 2 Reorder the terms: -6 + -5r = 4r + -1r + 2 Reorder the terms: -6 + -5r = 2 + 4r + -1r Combine like terms: 4r + -1r = 3r -6 + -5r = 2 + 3r Solving -6 + -5r = 2 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. -6 + -5r + -3r = 2 + 3r + -3r Combine like terms: -5r + -3r = -8r -6 + -8r = 2 + 3r + -3r Combine like terms: 3r + -3r = 0 -6 + -8r = 2 + 0 -6 + -8r = 2 Add '6' to each side of the equation. -6 + 6 + -8r = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -8r = 2 + 6 -8r = 2 + 6 Combine like terms: 2 + 6 = 8 -8r = 8 Divide each side by '-8'. r = -1 Simplifying r = -1
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