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Simplifying 8 + 3r + -6 = -7r + 12 Reorder the terms: 8 + -6 + 3r = -7r + 12 Combine like terms: 8 + -6 = 2 2 + 3r = -7r + 12 Reorder the terms: 2 + 3r = 12 + -7r Solving 2 + 3r = 12 + -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. 2 + 3r + 7r = 12 + -7r + 7r Combine like terms: 3r + 7r = 10r 2 + 10r = 12 + -7r + 7r Combine like terms: -7r + 7r = 0 2 + 10r = 12 + 0 2 + 10r = 12 Add '-2' to each side of the equation. 2 + -2 + 10r = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 10r = 12 + -2 10r = 12 + -2 Combine like terms: 12 + -2 = 10 10r = 10 Divide each side by '10'. r = 1 Simplifying r = 1
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