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Simplifying 9 + 4r + -1 = 9r + 12 + -4r Reorder the terms: 9 + -1 + 4r = 9r + 12 + -4r Combine like terms: 9 + -1 = 8 8 + 4r = 9r + 12 + -4r Reorder the terms: 8 + 4r = 12 + 9r + -4r Combine like terms: 9r + -4r = 5r 8 + 4r = 12 + 5r Solving 8 + 4r = 12 + 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. 8 + 4r + -5r = 12 + 5r + -5r Combine like terms: 4r + -5r = -1r 8 + -1r = 12 + 5r + -5r Combine like terms: 5r + -5r = 0 8 + -1r = 12 + 0 8 + -1r = 12 Add '-8' to each side of the equation. 8 + -8 + -1r = 12 + -8 Combine like terms: 8 + -8 = 0 0 + -1r = 12 + -8 -1r = 12 + -8 Combine like terms: 12 + -8 = 4 -1r = 4 Divide each side by '-1'. r = -4 Simplifying r = -4
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