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Simplifying -38 + -8k = -6(1 + 2k) -38 + -8k = (1 * -6 + 2k * -6) -38 + -8k = (-6 + -12k) Solving -38 + -8k = -6 + -12k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '12k' to each side of the equation. -38 + -8k + 12k = -6 + -12k + 12k Combine like terms: -8k + 12k = 4k -38 + 4k = -6 + -12k + 12k Combine like terms: -12k + 12k = 0 -38 + 4k = -6 + 0 -38 + 4k = -6 Add '38' to each side of the equation. -38 + 38 + 4k = -6 + 38 Combine like terms: -38 + 38 = 0 0 + 4k = -6 + 38 4k = -6 + 38 Combine like terms: -6 + 38 = 32 4k = 32 Divide each side by '4'. k = 8 Simplifying k = 8
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