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Simplifying 2r + 5 + -6r = 3r + 12 Reorder the terms: 5 + 2r + -6r = 3r + 12 Combine like terms: 2r + -6r = -4r 5 + -4r = 3r + 12 Reorder the terms: 5 + -4r = 12 + 3r Solving 5 + -4r = 12 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 5 + -4r + -3r = 12 + 3r + -3r Combine like terms: -4r + -3r = -7r 5 + -7r = 12 + 3r + -3r Combine like terms: 3r + -3r = 0 5 + -7r = 12 + 0 5 + -7r = 12 Add '-5' to each side of the equation. 5 + -5 + -7r = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -7r = 12 + -5 -7r = 12 + -5 Combine like terms: 12 + -5 = 7 -7r = 7 Divide each side by '-7'. r = -1 Simplifying r = -1
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