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Simplifying 4 + 6(4k + -4) = -140 Reorder the terms: 4 + 6(-4 + 4k) = -140 4 + (-4 * 6 + 4k * 6) = -140 4 + (-24 + 24k) = -140 Combine like terms: 4 + -24 = -20 -20 + 24k = -140 Solving -20 + 24k = -140 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + 24k = -140 + 20 Combine like terms: -20 + 20 = 0 0 + 24k = -140 + 20 24k = -140 + 20 Combine like terms: -140 + 20 = -120 24k = -120 Divide each side by '24'. k = -5 Simplifying k = -5
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