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Simplifying 33 = 12r + -3(9 + r) 33 = 12r + (9 * -3 + r * -3) 33 = 12r + (-27 + -3r) Reorder the terms: 33 = -27 + 12r + -3r Combine like terms: 12r + -3r = 9r 33 = -27 + 9r Solving 33 = -27 + 9r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-9r' to each side of the equation. 33 + -9r = -27 + 9r + -9r Combine like terms: 9r + -9r = 0 33 + -9r = -27 + 0 33 + -9r = -27 Add '-33' to each side of the equation. 33 + -33 + -9r = -27 + -33 Combine like terms: 33 + -33 = 0 0 + -9r = -27 + -33 -9r = -27 + -33 Combine like terms: -27 + -33 = -60 -9r = -60 Divide each side by '-9'. r = 6.666666667 Simplifying r = 6.666666667
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