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Simplifying 81 = 2(9 + 6r) + -3r 81 = (9 * 2 + 6r * 2) + -3r 81 = (18 + 12r) + -3r Combine like terms: 12r + -3r = 9r 81 = 18 + 9r Solving 81 = 18 + 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. 81 + -9r = 18 + 9r + -9r Combine like terms: 9r + -9r = 0 81 + -9r = 18 + 0 81 + -9r = 18 Add '-81' to each side of the equation. 81 + -81 + -9r = 18 + -81 Combine like terms: 81 + -81 = 0 0 + -9r = 18 + -81 -9r = 18 + -81 Combine like terms: 18 + -81 = -63 -9r = -63 Divide each side by '-9'. r = 7 Simplifying r = 7
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