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Simplifying r + 12 + 3r = 5 + 9r + -9 Reorder the terms: 12 + r + 3r = 5 + 9r + -9 Combine like terms: r + 3r = 4r 12 + 4r = 5 + 9r + -9 Reorder the terms: 12 + 4r = 5 + -9 + 9r Combine like terms: 5 + -9 = -4 12 + 4r = -4 + 9r Solving 12 + 4r = -4 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 12 + 4r + -9r = -4 + 9r + -9r Combine like terms: 4r + -9r = -5r 12 + -5r = -4 + 9r + -9r Combine like terms: 9r + -9r = 0 12 + -5r = -4 + 0 12 + -5r = -4 Add '-12' to each side of the equation. 12 + -12 + -5r = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -5r = -4 + -12 -5r = -4 + -12 Combine like terms: -4 + -12 = -16 -5r = -16 Divide each side by '-5'. r = 3.2 Simplifying r = 3.2
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