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Simplifying 21 + -2(8k + 4(3k + -1)) = 0 Reorder the terms: 21 + -2(8k + 4(-1 + 3k)) = 0 21 + -2(8k + (-1 * 4 + 3k * 4)) = 0 21 + -2(8k + (-4 + 12k)) = 0 Reorder the terms: 21 + -2(-4 + 8k + 12k) = 0 Combine like terms: 8k + 12k = 20k 21 + -2(-4 + 20k) = 0 21 + (-4 * -2 + 20k * -2) = 0 21 + (8 + -40k) = 0 Combine like terms: 21 + 8 = 29 29 + -40k = 0 Solving 29 + -40k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -40k = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -40k = 0 + -29 -40k = 0 + -29 Combine like terms: 0 + -29 = -29 -40k = -29 Divide each side by '-40'. k = 0.725 Simplifying k = 0.725
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