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Simplifying 4k + -4(1 + -5k) = -148 4k + (1 * -4 + -5k * -4) = -148 4k + (-4 + 20k) = -148 Reorder the terms: -4 + 4k + 20k = -148 Combine like terms: 4k + 20k = 24k -4 + 24k = -148 Solving -4 + 24k = -148 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 24k = -148 + 4 Combine like terms: -4 + 4 = 0 0 + 24k = -148 + 4 24k = -148 + 4 Combine like terms: -148 + 4 = -144 24k = -144 Divide each side by '24'. k = -6 Simplifying k = -6
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