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Simplifying 4(1 + -6k) + 8k = -20 + -8k (1 * 4 + -6k * 4) + 8k = -20 + -8k (4 + -24k) + 8k = -20 + -8k Combine like terms: -24k + 8k = -16k 4 + -16k = -20 + -8k Solving 4 + -16k = -20 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 4 + -16k + 8k = -20 + -8k + 8k Combine like terms: -16k + 8k = -8k 4 + -8k = -20 + -8k + 8k Combine like terms: -8k + 8k = 0 4 + -8k = -20 + 0 4 + -8k = -20 Add '-4' to each side of the equation. 4 + -4 + -8k = -20 + -4 Combine like terms: 4 + -4 = 0 0 + -8k = -20 + -4 -8k = -20 + -4 Combine like terms: -20 + -4 = -24 -8k = -24 Divide each side by '-8'. k = 3 Simplifying k = 3
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