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Simplifying 2(5k + 3) + -4(4k + 4) + -12k = 0 Reorder the terms: 2(3 + 5k) + -4(4k + 4) + -12k = 0 (3 * 2 + 5k * 2) + -4(4k + 4) + -12k = 0 (6 + 10k) + -4(4k + 4) + -12k = 0 Reorder the terms: 6 + 10k + -4(4 + 4k) + -12k = 0 6 + 10k + (4 * -4 + 4k * -4) + -12k = 0 6 + 10k + (-16 + -16k) + -12k = 0 Reorder the terms: 6 + -16 + 10k + -16k + -12k = 0 Combine like terms: 6 + -16 = -10 -10 + 10k + -16k + -12k = 0 Combine like terms: 10k + -16k = -6k -10 + -6k + -12k = 0 Combine like terms: -6k + -12k = -18k -10 + -18k = 0 Solving -10 + -18k = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -18k = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -18k = 0 + 10 -18k = 0 + 10 Combine like terms: 0 + 10 = 10 -18k = 10 Divide each side by '-18'. k = -0.5555555556 Simplifying k = -0.5555555556
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