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Simplifying -20 + 8k = 6(3k + -4) Reorder the terms: -20 + 8k = 6(-4 + 3k) -20 + 8k = (-4 * 6 + 3k * 6) -20 + 8k = (-24 + 18k) Solving -20 + 8k = -24 + 18k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-18k' to each side of the equation. -20 + 8k + -18k = -24 + 18k + -18k Combine like terms: 8k + -18k = -10k -20 + -10k = -24 + 18k + -18k Combine like terms: 18k + -18k = 0 -20 + -10k = -24 + 0 -20 + -10k = -24 Add '20' to each side of the equation. -20 + 20 + -10k = -24 + 20 Combine like terms: -20 + 20 = 0 0 + -10k = -24 + 20 -10k = -24 + 20 Combine like terms: -24 + 20 = -4 -10k = -4 Divide each side by '-10'. k = 0.4 Simplifying k = 0.4
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