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Simplifying 3(9 + 12r) + -6(9r + -9) = -9 + -12r + 4r (9 * 3 + 12r * 3) + -6(9r + -9) = -9 + -12r + 4r (27 + 36r) + -6(9r + -9) = -9 + -12r + 4r Reorder the terms: 27 + 36r + -6(-9 + 9r) = -9 + -12r + 4r 27 + 36r + (-9 * -6 + 9r * -6) = -9 + -12r + 4r 27 + 36r + (54 + -54r) = -9 + -12r + 4r Reorder the terms: 27 + 54 + 36r + -54r = -9 + -12r + 4r Combine like terms: 27 + 54 = 81 81 + 36r + -54r = -9 + -12r + 4r Combine like terms: 36r + -54r = -18r 81 + -18r = -9 + -12r + 4r Combine like terms: -12r + 4r = -8r 81 + -18r = -9 + -8r Solving 81 + -18r = -9 + -8r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '8r' to each side of the equation. 81 + -18r + 8r = -9 + -8r + 8r Combine like terms: -18r + 8r = -10r 81 + -10r = -9 + -8r + 8r Combine like terms: -8r + 8r = 0 81 + -10r = -9 + 0 81 + -10r = -9 Add '-81' to each side of the equation. 81 + -81 + -10r = -9 + -81 Combine like terms: 81 + -81 = 0 0 + -10r = -9 + -81 -10r = -9 + -81 Combine like terms: -9 + -81 = -90 -10r = -90 Divide each side by '-10'. r = 9 Simplifying r = 9
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