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Simplifying 12 + 5r = 6r + -3(r + -2) Reorder the terms: 12 + 5r = 6r + -3(-2 + r) 12 + 5r = 6r + (-2 * -3 + r * -3) 12 + 5r = 6r + (6 + -3r) Reorder the terms: 12 + 5r = 6 + 6r + -3r Combine like terms: 6r + -3r = 3r 12 + 5r = 6 + 3r Solving 12 + 5r = 6 + 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. 12 + 5r + -3r = 6 + 3r + -3r Combine like terms: 5r + -3r = 2r 12 + 2r = 6 + 3r + -3r Combine like terms: 3r + -3r = 0 12 + 2r = 6 + 0 12 + 2r = 6 Add '-12' to each side of the equation. 12 + -12 + 2r = 6 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = 6 + -12 2r = 6 + -12 Combine like terms: 6 + -12 = -6 2r = -6 Divide each side by '2'. r = -3 Simplifying r = -3
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