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Simplifying -804 = 6k + 6(-14 + 11k) -804 = 6k + (-14 * 6 + 11k * 6) -804 = 6k + (-84 + 66k) Reorder the terms: -804 = -84 + 6k + 66k Combine like terms: 6k + 66k = 72k -804 = -84 + 72k Solving -804 = -84 + 72k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-72k' to each side of the equation. -804 + -72k = -84 + 72k + -72k Combine like terms: 72k + -72k = 0 -804 + -72k = -84 + 0 -804 + -72k = -84 Add '804' to each side of the equation. -804 + 804 + -72k = -84 + 804 Combine like terms: -804 + 804 = 0 0 + -72k = -84 + 804 -72k = -84 + 804 Combine like terms: -84 + 804 = 720 -72k = 720 Divide each side by '-72'. k = -10 Simplifying k = -10
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