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Simplifying r + 4 + -6r = 12 + 3r Reorder the terms: 4 + r + -6r = 12 + 3r Combine like terms: r + -6r = -5r 4 + -5r = 12 + 3r Solving 4 + -5r = 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. 4 + -5r + -3r = 12 + 3r + -3r Combine like terms: -5r + -3r = -8r 4 + -8r = 12 + 3r + -3r Combine like terms: 3r + -3r = 0 4 + -8r = 12 + 0 4 + -8r = 12 Add '-4' to each side of the equation. 4 + -4 + -8r = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -8r = 12 + -4 -8r = 12 + -4 Combine like terms: 12 + -4 = 8 -8r = 8 Divide each side by '-8'. r = -1 Simplifying r = -1
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