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Simplifying 4k + -3(8k + -6) = -2 Reorder the terms: 4k + -3(-6 + 8k) = -2 4k + (-6 * -3 + 8k * -3) = -2 4k + (18 + -24k) = -2 Reorder the terms: 18 + 4k + -24k = -2 Combine like terms: 4k + -24k = -20k 18 + -20k = -2 Solving 18 + -20k = -2 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -20k = -2 + -18 Combine like terms: 18 + -18 = 0 0 + -20k = -2 + -18 -20k = -2 + -18 Combine like terms: -2 + -18 = -20 -20k = -20 Divide each side by '-20'. k = 1 Simplifying k = 1
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