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Simplifying -64 = -4(6k + -2) Reorder the terms: -64 = -4(-2 + 6k) -64 = (-2 * -4 + 6k * -4) -64 = (8 + -24k) Solving -64 = 8 + -24k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '24k' to each side of the equation. -64 + 24k = 8 + -24k + 24k Combine like terms: -24k + 24k = 0 -64 + 24k = 8 + 0 -64 + 24k = 8 Add '64' to each side of the equation. -64 + 64 + 24k = 8 + 64 Combine like terms: -64 + 64 = 0 0 + 24k = 8 + 64 24k = 8 + 64 Combine like terms: 8 + 64 = 72 24k = 72 Divide each side by '24'. k = 3 Simplifying k = 3
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