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Simplifying -84 = 8 + 6(-5 + -5k) -84 = 8 + (-5 * 6 + -5k * 6) -84 = 8 + (-30 + -30k) Combine like terms: 8 + -30 = -22 -84 = -22 + -30k Solving -84 = -22 + -30k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '30k' to each side of the equation. -84 + 30k = -22 + -30k + 30k Combine like terms: -30k + 30k = 0 -84 + 30k = -22 + 0 -84 + 30k = -22 Add '84' to each side of the equation. -84 + 84 + 30k = -22 + 84 Combine like terms: -84 + 84 = 0 0 + 30k = -22 + 84 30k = -22 + 84 Combine like terms: -22 + 84 = 62 30k = 62 Divide each side by '30'. k = 2.066666667 Simplifying k = 2.066666667
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