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Simplifying 7 + 2r + -3 = 9r + 16 + -4r Reorder the terms: 7 + -3 + 2r = 9r + 16 + -4r Combine like terms: 7 + -3 = 4 4 + 2r = 9r + 16 + -4r Reorder the terms: 4 + 2r = 16 + 9r + -4r Combine like terms: 9r + -4r = 5r 4 + 2r = 16 + 5r Solving 4 + 2r = 16 + 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. 4 + 2r + -5r = 16 + 5r + -5r Combine like terms: 2r + -5r = -3r 4 + -3r = 16 + 5r + -5r Combine like terms: 5r + -5r = 0 4 + -3r = 16 + 0 4 + -3r = 16 Add '-4' to each side of the equation. 4 + -4 + -3r = 16 + -4 Combine like terms: 4 + -4 = 0 0 + -3r = 16 + -4 -3r = 16 + -4 Combine like terms: 16 + -4 = 12 -3r = 12 Divide each side by '-3'. r = -4 Simplifying r = -4
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