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Simplifying -4(1 + 8k) + 8k = -24 + -4k (1 * -4 + 8k * -4) + 8k = -24 + -4k (-4 + -32k) + 8k = -24 + -4k Combine like terms: -32k + 8k = -24k -4 + -24k = -24 + -4k Solving -4 + -24k = -24 + -4k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4k' to each side of the equation. -4 + -24k + 4k = -24 + -4k + 4k Combine like terms: -24k + 4k = -20k -4 + -20k = -24 + -4k + 4k Combine like terms: -4k + 4k = 0 -4 + -20k = -24 + 0 -4 + -20k = -24 Add '4' to each side of the equation. -4 + 4 + -20k = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -20k = -24 + 4 -20k = -24 + 4 Combine like terms: -24 + 4 = -20 -20k = -20 Divide each side by '-20'. k = 1 Simplifying k = 1
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