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