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Simplifying 12 + 6r = -4r + -5 + -7r Reorder the terms: 12 + 6r = -5 + -4r + -7r Combine like terms: -4r + -7r = -11r 12 + 6r = -5 + -11r Solving 12 + 6r = -5 + -11r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '11r' to each side of the equation. 12 + 6r + 11r = -5 + -11r + 11r Combine like terms: 6r + 11r = 17r 12 + 17r = -5 + -11r + 11r Combine like terms: -11r + 11r = 0 12 + 17r = -5 + 0 12 + 17r = -5 Add '-12' to each side of the equation. 12 + -12 + 17r = -5 + -12 Combine like terms: 12 + -12 = 0 0 + 17r = -5 + -12 17r = -5 + -12 Combine like terms: -5 + -12 = -17 17r = -17 Divide each side by '17'. r = -1 Simplifying r = -1
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