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Simplifying r + 12 + 3v = 5 + 9r + -9 Reorder the terms: 12 + r + 3v = 5 + 9r + -9 Reorder the terms: 12 + r + 3v = 5 + -9 + 9r Combine like terms: 5 + -9 = -4 12 + r + 3v = -4 + 9r Solving 12 + r + 3v = -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 + r + -9r + 3v = -4 + 9r + -9r Combine like terms: r + -9r = -8r 12 + -8r + 3v = -4 + 9r + -9r Combine like terms: 9r + -9r = 0 12 + -8r + 3v = -4 + 0 12 + -8r + 3v = -4 Add '-12' to each side of the equation. 12 + -8r + -12 + 3v = -4 + -12 Reorder the terms: 12 + -12 + -8r + 3v = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -8r + 3v = -4 + -12 -8r + 3v = -4 + -12 Combine like terms: -4 + -12 = -16 -8r + 3v = -16 Add '-3v' to each side of the equation. -8r + 3v + -3v = -16 + -3v Combine like terms: 3v + -3v = 0 -8r + 0 = -16 + -3v -8r = -16 + -3v Divide each side by '-8'. r = 2 + 0.375v Simplifying r = 2 + 0.375v
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