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Simplifying 8r + 12 = 6r + 14 Reorder the terms: 12 + 8r = 6r + 14 Reorder the terms: 12 + 8r = 14 + 6r Solving 12 + 8r = 14 + 6r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-6r' to each side of the equation. 12 + 8r + -6r = 14 + 6r + -6r Combine like terms: 8r + -6r = 2r 12 + 2r = 14 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + 2r = 14 + 0 12 + 2r = 14 Add '-12' to each side of the equation. 12 + -12 + 2r = 14 + -12 Combine like terms: 12 + -12 = 0 0 + 2r = 14 + -12 2r = 14 + -12 Combine like terms: 14 + -12 = 2 2r = 2 Divide each side by '2'. r = 1 Simplifying r = 1
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