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Simplifying -5r + -9 = 8r + 43 Reorder the terms: -9 + -5r = 8r + 43 Reorder the terms: -9 + -5r = 43 + 8r Solving -9 + -5r = 43 + 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. -9 + -5r + -8r = 43 + 8r + -8r Combine like terms: -5r + -8r = -13r -9 + -13r = 43 + 8r + -8r Combine like terms: 8r + -8r = 0 -9 + -13r = 43 + 0 -9 + -13r = 43 Add '9' to each side of the equation. -9 + 9 + -13r = 43 + 9 Combine like terms: -9 + 9 = 0 0 + -13r = 43 + 9 -13r = 43 + 9 Combine like terms: 43 + 9 = 52 -13r = 52 Divide each side by '-13'. r = -4 Simplifying r = -4
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