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Simplifying 8 + 2r + -4 = 9r + 16 + -5r Reorder the terms: 8 + -4 + 2r = 9r + 16 + -5r Combine like terms: 8 + -4 = 4 4 + 2r = 9r + 16 + -5r Reorder the terms: 4 + 2r = 16 + 9r + -5r Combine like terms: 9r + -5r = 4r 4 + 2r = 16 + 4r Solving 4 + 2r = 16 + 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. 4 + 2r + -4r = 16 + 4r + -4r Combine like terms: 2r + -4r = -2r 4 + -2r = 16 + 4r + -4r Combine like terms: 4r + -4r = 0 4 + -2r = 16 + 0 4 + -2r = 16 Add '-4' to each side of the equation. 4 + -4 + -2r = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -2r = 16 + -4 -2r = 16 + -4 Combine like terms: 16 + -4 = 12 -2r = 12 Divide each side by '-2'. r = -6 Simplifying r = -6
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