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Simplifying 64 = -8(k + 10) Reorder the terms: 64 = -8(10 + k) 64 = (10 * -8 + k * -8) 64 = (-80 + -8k) Solving 64 = -80 + -8k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '8k' to each side of the equation. 64 + 8k = -80 + -8k + 8k Combine like terms: -8k + 8k = 0 64 + 8k = -80 + 0 64 + 8k = -80 Add '-64' to each side of the equation. 64 + -64 + 8k = -80 + -64 Combine like terms: 64 + -64 = 0 0 + 8k = -80 + -64 8k = -80 + -64 Combine like terms: -80 + -64 = -144 8k = -144 Divide each side by '8'. k = -18 Simplifying k = -18
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