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Simplifying 8(3k + 5k + -6 + -2) = 0 Reorder the terms: 8(-6 + -2 + 3k + 5k) = 0 Combine like terms: -6 + -2 = -8 8(-8 + 3k + 5k) = 0 Combine like terms: 3k + 5k = 8k 8(-8 + 8k) = 0 (-8 * 8 + 8k * 8) = 0 (-64 + 64k) = 0 Solving -64 + 64k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '64' to each side of the equation. -64 + 64 + 64k = 0 + 64 Combine like terms: -64 + 64 = 0 0 + 64k = 0 + 64 64k = 0 + 64 Combine like terms: 0 + 64 = 64 64k = 64 Divide each side by '64'. k = 1 Simplifying k = 1
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