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Simplifying 64 = -4(4k + 4) Reorder the terms: 64 = -4(4 + 4k) 64 = (4 * -4 + 4k * -4) 64 = (-16 + -16k) Solving 64 = -16 + -16k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '16k' to each side of the equation. 64 + 16k = -16 + -16k + 16k Combine like terms: -16k + 16k = 0 64 + 16k = -16 + 0 64 + 16k = -16 Add '-64' to each side of the equation. 64 + -64 + 16k = -16 + -64 Combine like terms: 64 + -64 = 0 0 + 16k = -16 + -64 16k = -16 + -64 Combine like terms: -16 + -64 = -80 16k = -80 Divide each side by '16'. k = -5 Simplifying k = -5
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