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Simplifying 0 = 8(k + -0.6667) + 33 Reorder the terms: 0 = 8(-0.6667 + k) + 33 0 = (-0.6667 * 8 + k * 8) + 33 0 = (-5.3336 + 8k) + 33 Reorder the terms: 0 = -5.3336 + 33 + 8k Combine like terms: -5.3336 + 33 = 27.6664 0 = 27.6664 + 8k Solving 0 = 27.6664 + 8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-8k' to each side of the equation. 0 + -8k = 27.6664 + 8k + -8k Remove the zero: -8k = 27.6664 + 8k + -8k Combine like terms: 8k + -8k = 0 -8k = 27.6664 + 0 -8k = 27.6664 Divide each side by '-8'. k = -3.4583 Simplifying k = -3.4583
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