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Simplifying r + 3 + 3 = 7r + 12 Reorder the terms: 3 + 3 + r = 7r + 12 Combine like terms: 3 + 3 = 6 6 + r = 7r + 12 Reorder the terms: 6 + r = 12 + 7r Solving 6 + r = 12 + 7r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-7r' to each side of the equation. 6 + r + -7r = 12 + 7r + -7r Combine like terms: r + -7r = -6r 6 + -6r = 12 + 7r + -7r Combine like terms: 7r + -7r = 0 6 + -6r = 12 + 0 6 + -6r = 12 Add '-6' to each side of the equation. 6 + -6 + -6r = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6r = 12 + -6 -6r = 12 + -6 Combine like terms: 12 + -6 = 6 -6r = 6 Divide each side by '-6'. r = -1 Simplifying r = -1
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