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Simplifying -4r + -6 + 4r = 9 + 5r Reorder the terms: -6 + -4r + 4r = 9 + 5r Combine like terms: -4r + 4r = 0 -6 + 0 = 9 + 5r -6 = 9 + 5r Solving -6 = 9 + 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. -6 + -5r = 9 + 5r + -5r Combine like terms: 5r + -5r = 0 -6 + -5r = 9 + 0 -6 + -5r = 9 Add '6' to each side of the equation. -6 + 6 + -5r = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -5r = 9 + 6 -5r = 9 + 6 Combine like terms: 9 + 6 = 15 -5r = 15 Divide each side by '-5'. r = -3 Simplifying r = -3
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