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Simplifying 5(-4 + 2k) + -6(4 + -8k) = 14 (-4 * 5 + 2k * 5) + -6(4 + -8k) = 14 (-20 + 10k) + -6(4 + -8k) = 14 -20 + 10k + (4 * -6 + -8k * -6) = 14 -20 + 10k + (-24 + 48k) = 14 Reorder the terms: -20 + -24 + 10k + 48k = 14 Combine like terms: -20 + -24 = -44 -44 + 10k + 48k = 14 Combine like terms: 10k + 48k = 58k -44 + 58k = 14 Solving -44 + 58k = 14 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + 58k = 14 + 44 Combine like terms: -44 + 44 = 0 0 + 58k = 14 + 44 58k = 14 + 44 Combine like terms: 14 + 44 = 58 58k = 58 Divide each side by '58'. k = 1 Simplifying k = 1
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