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Simplifying -118 = 6 + -4(5k + 6) Reorder the terms: -118 = 6 + -4(6 + 5k) -118 = 6 + (6 * -4 + 5k * -4) -118 = 6 + (-24 + -20k) Combine like terms: 6 + -24 = -18 -118 = -18 + -20k Solving -118 = -18 + -20k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20k' to each side of the equation. -118 + 20k = -18 + -20k + 20k Combine like terms: -20k + 20k = 0 -118 + 20k = -18 + 0 -118 + 20k = -18 Add '118' to each side of the equation. -118 + 118 + 20k = -18 + 118 Combine like terms: -118 + 118 = 0 0 + 20k = -18 + 118 20k = -18 + 118 Combine like terms: -18 + 118 = 100 20k = 100 Divide each side by '20'. k = 5 Simplifying k = 5
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