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Simplifying 8 + 12r + -4 = 7r + 12 + -3r Reorder the terms: 8 + -4 + 12r = 7r + 12 + -3r Combine like terms: 8 + -4 = 4 4 + 12r = 7r + 12 + -3r Reorder the terms: 4 + 12r = 12 + 7r + -3r Combine like terms: 7r + -3r = 4r 4 + 12r = 12 + 4r Solving 4 + 12r = 12 + 4r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-4r' to each side of the equation. 4 + 12r + -4r = 12 + 4r + -4r Combine like terms: 12r + -4r = 8r 4 + 8r = 12 + 4r + -4r Combine like terms: 4r + -4r = 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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