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Simplifying 4k + -4(1 + -7k) = 156 4k + (1 * -4 + -7k * -4) = 156 4k + (-4 + 28k) = 156 Reorder the terms: -4 + 4k + 28k = 156 Combine like terms: 4k + 28k = 32k -4 + 32k = 156 Solving -4 + 32k = 156 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 + 32k = 156 + 4 Combine like terms: -4 + 4 = 0 0 + 32k = 156 + 4 32k = 156 + 4 Combine like terms: 156 + 4 = 160 32k = 160 Divide each side by '32'. k = 5 Simplifying k = 5
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