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Simplifying 7r + 7 = 6r + 12 Reorder the terms: 7 + 7r = 6r + 12 Reorder the terms: 7 + 7r = 12 + 6r Solving 7 + 7r = 12 + 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. 7 + 7r + -6r = 12 + 6r + -6r Combine like terms: 7r + -6r = 1r 7 + 1r = 12 + 6r + -6r Combine like terms: 6r + -6r = 0 7 + 1r = 12 + 0 7 + 1r = 12 Add '-7' to each side of the equation. 7 + -7 + 1r = 12 + -7 Combine like terms: 7 + -7 = 0 0 + 1r = 12 + -7 1r = 12 + -7 Combine like terms: 12 + -7 = 5 1r = 5 Divide each side by '1'. r = 5 Simplifying r = 5
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