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Simplifying -3[9(x + -4) + 5x] + -8(3[5(3y + 4)] + -12) = k Reorder the terms: -3[9(-4 + x) + 5x] + -8(3[5(3y + 4)] + -12) = k -3[(-4 * 9 + x * 9) + 5x] + -8(3[5(3y + 4)] + -12) = k -3[(-36 + 9x) + 5x] + -8(3[5(3y + 4)] + -12) = k Combine like terms: 9x + 5x = 14x -3[-36 + 14x] + -8(3[5(3y + 4)] + -12) = k [-36 * -3 + 14x * -3] + -8(3[5(3y + 4)] + -12) = k [108 + -42x] + -8(3[5(3y + 4)] + -12) = k Reorder the terms: 108 + -42x + -8(3[5(4 + 3y)] + -12) = k 108 + -42x + -8(3[(4 * 5 + 3y * 5)] + -12) = k 108 + -42x + -8(3[(20 + 15y)] + -12) = k 108 + -42x + -8([20 * 3 + 15y * 3] + -12) = k 108 + -42x + -8([60 + 45y] + -12) = k Reorder the terms: 108 + -42x + -8(60 + -12 + 45y) = k Combine like terms: 60 + -12 = 48 108 + -42x + -8(48 + 45y) = k 108 + -42x + (48 * -8 + 45y * -8) = k 108 + -42x + (-384 + -360y) = k Reorder the terms: 108 + -384 + -42x + -360y = k Combine like terms: 108 + -384 = -276 -276 + -42x + -360y = k Solving -276 + -42x + -360y = k Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '276' to each side of the equation. -276 + -42x + 276 + -360y = 276 + k Reorder the terms: -276 + 276 + -42x + -360y = 276 + k Combine like terms: -276 + 276 = 0 0 + -42x + -360y = 276 + k -42x + -360y = 276 + k Add '360y' to each side of the equation. -42x + -360y + 360y = 276 + k + 360y Combine like terms: -360y + 360y = 0 -42x + 0 = 276 + k + 360y -42x = 276 + k + 360y Divide each side by '-42'. x = -6.571428571 + -0.02380952381k + -8.571428571y Simplifying x = -6.571428571 + -0.02380952381k + -8.571428571y
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