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