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Simplifying r + 4r + -9 = 4r + -5 Reorder the terms: -9 + r + 4r = 4r + -5 Combine like terms: r + 4r = 5r -9 + 5r = 4r + -5 Reorder the terms: -9 + 5r = -5 + 4r Solving -9 + 5r = -5 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. -9 + 5r + -4r = -5 + 4r + -4r Combine like terms: 5r + -4r = 1r -9 + 1r = -5 + 4r + -4r Combine like terms: 4r + -4r = 0 -9 + 1r = -5 + 0 -9 + 1r = -5 Add '9' to each side of the equation. -9 + 9 + 1r = -5 + 9 Combine like terms: -9 + 9 = 0 0 + 1r = -5 + 9 1r = -5 + 9 Combine like terms: -5 + 9 = 4 1r = 4 Divide each side by '1'. r = 4 Simplifying r = 4
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