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Simplifying 12r + -3(9 + -1r) = 33 12r + (9 * -3 + -1r * -3) = 33 12r + (-27 + 3r) = 33 Reorder the terms: -27 + 12r + 3r = 33 Combine like terms: 12r + 3r = 15r -27 + 15r = 33 Solving -27 + 15r = 33 Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 15r = 33 + 27 Combine like terms: -27 + 27 = 0 0 + 15r = 33 + 27 15r = 33 + 27 Combine like terms: 33 + 27 = 60 15r = 60 Divide each side by '15'. r = 4 Simplifying r = 4
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