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Simplifying -5k + -4(4 + -4k) = 7k + -36 -5k + (4 * -4 + -4k * -4) = 7k + -36 -5k + (-16 + 16k) = 7k + -36 Reorder the terms: -16 + -5k + 16k = 7k + -36 Combine like terms: -5k + 16k = 11k -16 + 11k = 7k + -36 Reorder the terms: -16 + 11k = -36 + 7k Solving -16 + 11k = -36 + 7k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7k' to each side of the equation. -16 + 11k + -7k = -36 + 7k + -7k Combine like terms: 11k + -7k = 4k -16 + 4k = -36 + 7k + -7k Combine like terms: 7k + -7k = 0 -16 + 4k = -36 + 0 -16 + 4k = -36 Add '16' to each side of the equation. -16 + 16 + 4k = -36 + 16 Combine like terms: -16 + 16 = 0 0 + 4k = -36 + 16 4k = -36 + 16 Combine like terms: -36 + 16 = -20 4k = -20 Divide each side by '4'. k = -5 Simplifying k = -5
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