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Simplifying -18 + -6k = 4(5k + 2) Reorder the terms: -18 + -6k = 4(2 + 5k) -18 + -6k = (2 * 4 + 5k * 4) -18 + -6k = (8 + 20k) Solving -18 + -6k = 8 + 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. -18 + -6k + -20k = 8 + 20k + -20k Combine like terms: -6k + -20k = -26k -18 + -26k = 8 + 20k + -20k Combine like terms: 20k + -20k = 0 -18 + -26k = 8 + 0 -18 + -26k = 8 Add '18' to each side of the equation. -18 + 18 + -26k = 8 + 18 Combine like terms: -18 + 18 = 0 0 + -26k = 8 + 18 -26k = 8 + 18 Combine like terms: 8 + 18 = 26 -26k = 26 Divide each side by '-26'. k = -1 Simplifying k = -1
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