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Simplifying 3r + 12 = 6r + -9 Reorder the terms: 12 + 3r = 6r + -9 Reorder the terms: 12 + 3r = -9 + 6r Solving 12 + 3r = -9 + 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 + 3r + -6r = -9 + 6r + -6r Combine like terms: 3r + -6r = -3r 12 + -3r = -9 + 6r + -6r Combine like terms: 6r + -6r = 0 12 + -3r = -9 + 0 12 + -3r = -9 Add '-12' to each side of the equation. 12 + -12 + -3r = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3r = -9 + -12 -3r = -9 + -12 Combine like terms: -9 + -12 = -21 -3r = -21 Divide each side by '-3'. r = 7 Simplifying r = 7
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