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Simplifying 64 = -2(5k + -2) Reorder the terms: 64 = -2(-2 + 5k) 64 = (-2 * -2 + 5k * -2) 64 = (4 + -10k) Solving 64 = 4 + -10k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10k' to each side of the equation. 64 + 10k = 4 + -10k + 10k Combine like terms: -10k + 10k = 0 64 + 10k = 4 + 0 64 + 10k = 4 Add '-64' to each side of the equation. 64 + -64 + 10k = 4 + -64 Combine like terms: 64 + -64 = 0 0 + 10k = 4 + -64 10k = 4 + -64 Combine like terms: 4 + -64 = -60 10k = -60 Divide each side by '10'. k = -6 Simplifying k = -6
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