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Simplifying -12 + -2r = 7r + 6 Reorder the terms: -12 + -2r = 6 + 7r Solving -12 + -2r = 6 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. -12 + -2r + -7r = 6 + 7r + -7r Combine like terms: -2r + -7r = -9r -12 + -9r = 6 + 7r + -7r Combine like terms: 7r + -7r = 0 -12 + -9r = 6 + 0 -12 + -9r = 6 Add '12' to each side of the equation. -12 + 12 + -9r = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -9r = 6 + 12 -9r = 6 + 12 Combine like terms: 6 + 12 = 18 -9r = 18 Divide each side by '-9'. r = -2 Simplifying r = -2
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