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Simplifying 159 = -5(6k + -3) + 6k Reorder the terms: 159 = -5(-3 + 6k) + 6k 159 = (-3 * -5 + 6k * -5) + 6k 159 = (15 + -30k) + 6k Combine like terms: -30k + 6k = -24k 159 = 15 + -24k Solving 159 = 15 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. 159 + 24k = 15 + -24k + 24k Combine like terms: -24k + 24k = 0 159 + 24k = 15 + 0 159 + 24k = 15 Add '-159' to each side of the equation. 159 + -159 + 24k = 15 + -159 Combine like terms: 159 + -159 = 0 0 + 24k = 15 + -159 24k = 15 + -159 Combine like terms: 15 + -159 = -144 24k = -144 Divide each side by '24'. k = -6 Simplifying k = -6
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