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Simplifying 7 + 3r + -4 = 9r + 12 + -3r Reorder the terms: 7 + -4 + 3r = 9r + 12 + -3r Combine like terms: 7 + -4 = 3 3 + 3r = 9r + 12 + -3r Reorder the terms: 3 + 3r = 12 + 9r + -3r Combine like terms: 9r + -3r = 6r 3 + 3r = 12 + 6r Solving 3 + 3r = 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. 3 + 3r + -6r = 12 + 6r + -6r Combine like terms: 3r + -6r = -3r 3 + -3r = 12 + 6r + -6r Combine like terms: 6r + -6r = 0 3 + -3r = 12 + 0 3 + -3r = 12 Add '-3' to each side of the equation. 3 + -3 + -3r = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -3r = 12 + -3 -3r = 12 + -3 Combine like terms: 12 + -3 = 9 -3r = 9 Divide each side by '-3'. r = -3 Simplifying r = -3
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