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Simplifying 9 + 12r + -3 = 6r + 60 + -3r Reorder the terms: 9 + -3 + 12r = 6r + 60 + -3r Combine like terms: 9 + -3 = 6 6 + 12r = 6r + 60 + -3r Reorder the terms: 6 + 12r = 60 + 6r + -3r Combine like terms: 6r + -3r = 3r 6 + 12r = 60 + 3r Solving 6 + 12r = 60 + 3r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-3r' to each side of the equation. 6 + 12r + -3r = 60 + 3r + -3r Combine like terms: 12r + -3r = 9r 6 + 9r = 60 + 3r + -3r Combine like terms: 3r + -3r = 0 6 + 9r = 60 + 0 6 + 9r = 60 Add '-6' to each side of the equation. 6 + -6 + 9r = 60 + -6 Combine like terms: 6 + -6 = 0 0 + 9r = 60 + -6 9r = 60 + -6 Combine like terms: 60 + -6 = 54 9r = 54 Divide each side by '9'. r = 6 Simplifying r = 6
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